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Finding the Third Proportional to 49,614.19 and 74,882.81

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Solution

The third proportional to 49,614.19 and 74,882.81 is: 113,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,614.19 : 74,882.81 = 74,882.81 : x
  2. Step 2: Convert to fraction form
    49,614.19/74,882.81 = 74,882.81/x
  3. Step 3: Cross multiply
    49,614.19x = 74,882.81 × 74,882.81
  4. Step 4: Simplify right side
    49,614.19x = 5,607,435,607.91
  5. Step 5: Solve for x
    x = 5,607,435,607.91/49,614.19
  6. Step 6: Final answer
    x = 113,020.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.