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Finding the Third Proportional to 10,531.13 and 22,749.38

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Solution

The third proportional to 10,531.13 and 22,749.38 is: 49,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.13 : 22,749.38 = 22,749.38 : x
  2. Step 2: Convert to fraction form
    10,531.13/22,749.38 = 22,749.38/x
  3. Step 3: Cross multiply
    10,531.13x = 22,749.38 × 22,749.38
  4. Step 4: Simplify right side
    10,531.13x = 517,534,062.89
  5. Step 5: Solve for x
    x = 517,534,062.89/10,531.13
  6. Step 6: Final answer
    x = 49,143.28

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