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Finding the Third Proportional to 39,972 and 58,422

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Solution

The third proportional to 39,972 and 58,422 is: 85,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,972 : 58,422 = 58,422 : x
  2. Step 2: Convert to fraction form
    39,972/58,422 = 58,422/x
  3. Step 3: Cross multiply
    39,972x = 58,422 × 58,422
  4. Step 4: Simplify right side
    39,972x = 3,413,130,084
  5. Step 5: Solve for x
    x = 3,413,130,084/39,972
  6. Step 6: Final answer
    x = 85,388.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.