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Finding the Third Proportional to 20,136.38 and 42,864.75

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Solution

The third proportional to 20,136.38 and 42,864.75 is: 91,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.38 : 42,864.75 = 42,864.75 : x
  2. Step 2: Convert to fraction form
    20,136.38/42,864.75 = 42,864.75/x
  3. Step 3: Cross multiply
    20,136.38x = 42,864.75 × 42,864.75
  4. Step 4: Simplify right side
    20,136.38x = 1,837,386,792.56
  5. Step 5: Solve for x
    x = 1,837,386,792.56/20,136.38
  6. Step 6: Final answer
    x = 91,247.15

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.