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Finding the Third Proportional to 11,614.50 and 15,605.25

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Solution

The third proportional to 11,614.50 and 15,605.25 is: 20,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 15,605.25 = 15,605.25 : x
  2. Step 2: Convert to fraction form
    11,614.50/15,605.25 = 15,605.25/x
  3. Step 3: Cross multiply
    11,614.50x = 15,605.25 × 15,605.25
  4. Step 4: Simplify right side
    11,614.50x = 243,523,827.56
  5. Step 5: Solve for x
    x = 243,523,827.56/11,614.50
  6. Step 6: Final answer
    x = 20,967.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.