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Finding the Third Proportional to 6,582.94 and 8,868.66

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Solution

The third proportional to 6,582.94 and 8,868.66 is: 11,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.94 : 8,868.66 = 8,868.66 : x
  2. Step 2: Convert to fraction form
    6,582.94/8,868.66 = 8,868.66/x
  3. Step 3: Cross multiply
    6,582.94x = 8,868.66 × 8,868.66
  4. Step 4: Simplify right side
    6,582.94x = 78,653,063.68
  5. Step 5: Solve for x
    x = 78,653,063.68/6,582.94
  6. Step 6: Final answer
    x = 11,948.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.