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Finding the Third Proportional to 11,242.55 and 16,892.30

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Solution

The third proportional to 11,242.55 and 16,892.30 is: 25,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.55 : 16,892.30 = 16,892.30 : x
  2. Step 2: Convert to fraction form
    11,242.55/16,892.30 = 16,892.30/x
  3. Step 3: Cross multiply
    11,242.55x = 16,892.30 × 16,892.30
  4. Step 4: Simplify right side
    11,242.55x = 285,349,693.71
  5. Step 5: Solve for x
    x = 285,349,693.71/11,242.55
  6. Step 6: Final answer
    x = 25,381.23

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