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Finding the Third Proportional to 10,560.38 and 22,863.38

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Solution

The third proportional to 10,560.38 and 22,863.38 is: 49,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.38 : 22,863.38 = 22,863.38 : x
  2. Step 2: Convert to fraction form
    10,560.38/22,863.38 = 22,863.38/x
  3. Step 3: Cross multiply
    10,560.38x = 22,863.38 × 22,863.38
  4. Step 4: Simplify right side
    10,560.38x = 522,733,916.39
  5. Step 5: Solve for x
    x = 522,733,916.39/10,560.38
  6. Step 6: Final answer
    x = 49,499.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.