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Finding the Third Proportional to 7,740.56 and 16,711.31

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Solution

The third proportional to 7,740.56 and 16,711.31 is: 36,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.56 : 16,711.31 = 16,711.31 : x
  2. Step 2: Convert to fraction form
    7,740.56/16,711.31 = 16,711.31/x
  3. Step 3: Cross multiply
    7,740.56x = 16,711.31 × 16,711.31
  4. Step 4: Simplify right side
    7,740.56x = 279,267,965.47
  5. Step 5: Solve for x
    x = 279,267,965.47/7,740.56
  6. Step 6: Final answer
    x = 36,078.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.