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Finding the Third Proportional to 39,987.75 and 92,572.13

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Solution

The third proportional to 39,987.75 and 92,572.13 is: 214,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987.75 : 92,572.13 = 92,572.13 : x
  2. Step 2: Convert to fraction form
    39,987.75/92,572.13 = 92,572.13/x
  3. Step 3: Cross multiply
    39,987.75x = 92,572.13 × 92,572.13
  4. Step 4: Simplify right side
    39,987.75x = 8,569,598,327.02
  5. Step 5: Solve for x
    x = 8,569,598,327.02/39,987.75
  6. Step 6: Final answer
    x = 214,305.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.