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Finding the Third Proportional to 39,676 and 58,412

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Solution

The third proportional to 39,676 and 58,412 is: 85,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676 : 58,412 = 58,412 : x
  2. Step 2: Convert to fraction form
    39,676/58,412 = 58,412/x
  3. Step 3: Cross multiply
    39,676x = 58,412 × 58,412
  4. Step 4: Simplify right side
    39,676x = 3,411,961,744
  5. Step 5: Solve for x
    x = 3,411,961,744/39,676
  6. Step 6: Final answer
    x = 85,995.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.