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Finding the Third Proportional to 6,582.94 and 12,857.91

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Solution

The third proportional to 6,582.94 and 12,857.91 is: 25,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.94 : 12,857.91 = 12,857.91 : x
  2. Step 2: Convert to fraction form
    6,582.94/12,857.91 = 12,857.91/x
  3. Step 3: Cross multiply
    6,582.94x = 12,857.91 × 12,857.91
  4. Step 4: Simplify right side
    6,582.94x = 165,325,753.13
  5. Step 5: Solve for x
    x = 165,325,753.13/6,582.94
  6. Step 6: Final answer
    x = 25,114.28

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.