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Finding the Third Proportional to 38,965 and 59,588

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Solution

The third proportional to 38,965 and 59,588 is: 91,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965 : 59,588 = 59,588 : x
  2. Step 2: Convert to fraction form
    38,965/59,588 = 59,588/x
  3. Step 3: Cross multiply
    38,965x = 59,588 × 59,588
  4. Step 4: Simplify right side
    38,965x = 3,550,729,744
  5. Step 5: Solve for x
    x = 3,550,729,744/38,965
  6. Step 6: Final answer
    x = 91,126.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.