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Finding the Third Proportional to 39,997.34 and 85,687.24

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Solution

The third proportional to 39,997.34 and 85,687.24 is: 183,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,997.34 : 85,687.24 = 85,687.24 : x
  2. Step 2: Convert to fraction form
    39,997.34/85,687.24 = 85,687.24/x
  3. Step 3: Cross multiply
    39,997.34x = 85,687.24 × 85,687.24
  4. Step 4: Simplify right side
    39,997.34x = 7,342,303,473.70
  5. Step 5: Solve for x
    x = 7,342,303,473.70/39,997.34
  6. Step 6: Final answer
    x = 183,569.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.