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Finding the Third Proportional to 39,502.69 and 44,491.78

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Solution

The third proportional to 39,502.69 and 44,491.78 is: 50,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502.69 : 44,491.78 = 44,491.78 : x
  2. Step 2: Convert to fraction form
    39,502.69/44,491.78 = 44,491.78/x
  3. Step 3: Cross multiply
    39,502.69x = 44,491.78 × 44,491.78
  4. Step 4: Simplify right side
    39,502.69x = 1,979,518,598.80
  5. Step 5: Solve for x
    x = 1,979,518,598.80/39,502.69
  6. Step 6: Final answer
    x = 50,110.99

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.