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Finding the Third Proportional to 7,705.13 and 11,566.55

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Solution

The third proportional to 7,705.13 and 11,566.55 is: 17,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.13 : 11,566.55 = 11,566.55 : x
  2. Step 2: Convert to fraction form
    7,705.13/11,566.55 = 11,566.55/x
  3. Step 3: Cross multiply
    7,705.13x = 11,566.55 × 11,566.55
  4. Step 4: Simplify right side
    7,705.13x = 133,785,006.61
  5. Step 5: Solve for x
    x = 133,785,006.61/7,705.13
  6. Step 6: Final answer
    x = 17,363.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.