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Finding the Third Proportional to 39,372 and 59,058

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Solution

The third proportional to 39,372 and 59,058 is: 88,587

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,372 : 59,058 = 59,058 : x
  2. Step 2: Convert to fraction form
    39,372/59,058 = 59,058/x
  3. Step 3: Cross multiply
    39,372x = 59,058 × 59,058
  4. Step 4: Simplify right side
    39,372x = 3,487,847,364
  5. Step 5: Solve for x
    x = 3,487,847,364/39,372
  6. Step 6: Final answer
    x = 88,587

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.