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Finding the Third Proportional to 38,657 and 58,797

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Solution

The third proportional to 38,657 and 58,797 is: 89,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657 : 58,797 = 58,797 : x
  2. Step 2: Convert to fraction form
    38,657/58,797 = 58,797/x
  3. Step 3: Cross multiply
    38,657x = 58,797 × 58,797
  4. Step 4: Simplify right side
    38,657x = 3,457,087,209
  5. Step 5: Solve for x
    x = 3,457,087,209/38,657
  6. Step 6: Final answer
    x = 89,429.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.