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Finding the Third Proportional to 27,136.69 and 42,442.31

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Solution

The third proportional to 27,136.69 and 42,442.31 is: 66,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.69 : 42,442.31 = 42,442.31 : x
  2. Step 2: Convert to fraction form
    27,136.69/42,442.31 = 42,442.31/x
  3. Step 3: Cross multiply
    27,136.69x = 42,442.31 × 42,442.31
  4. Step 4: Simplify right side
    27,136.69x = 1,801,349,890.35
  5. Step 5: Solve for x
    x = 1,801,349,890.35/27,136.69
  6. Step 6: Final answer
    x = 66,380.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.