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Finding the Third Proportional to 39,658 and 58,391

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Solution

The third proportional to 39,658 and 58,391 is: 85,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658 : 58,391 = 58,391 : x
  2. Step 2: Convert to fraction form
    39,658/58,391 = 58,391/x
  3. Step 3: Cross multiply
    39,658x = 58,391 × 58,391
  4. Step 4: Simplify right side
    39,658x = 3,409,508,881
  5. Step 5: Solve for x
    x = 3,409,508,881/39,658
  6. Step 6: Final answer
    x = 85,972.79

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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.