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Finding the Third Proportional to 11,242.13 and 15,280.31

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Solution

The third proportional to 11,242.13 and 15,280.31 is: 20,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.13 : 15,280.31 = 15,280.31 : x
  2. Step 2: Convert to fraction form
    11,242.13/15,280.31 = 15,280.31/x
  3. Step 3: Cross multiply
    11,242.13x = 15,280.31 × 15,280.31
  4. Step 4: Simplify right side
    11,242.13x = 233,487,950.10
  5. Step 5: Solve for x
    x = 233,487,950.10/11,242.13
  6. Step 6: Final answer
    x = 20,769.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.