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Finding the Third Proportional to 3,135.94 and 6,854.91

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Solution

The third proportional to 3,135.94 and 6,854.91 is: 14,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.94 : 6,854.91 = 6,854.91 : x
  2. Step 2: Convert to fraction form
    3,135.94/6,854.91 = 6,854.91/x
  3. Step 3: Cross multiply
    3,135.94x = 6,854.91 × 6,854.91
  4. Step 4: Simplify right side
    3,135.94x = 46,989,739.70
  5. Step 5: Solve for x
    x = 46,989,739.70/3,135.94
  6. Step 6: Final answer
    x = 14,984.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.