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Finding the Third Proportional to 38,657 and 56,599

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Solution

The third proportional to 38,657 and 56,599 is: 82,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657 : 56,599 = 56,599 : x
  2. Step 2: Convert to fraction form
    38,657/56,599 = 56,599/x
  3. Step 3: Cross multiply
    38,657x = 56,599 × 56,599
  4. Step 4: Simplify right side
    38,657x = 3,203,446,801
  5. Step 5: Solve for x
    x = 3,203,446,801/38,657
  6. Step 6: Final answer
    x = 82,868.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.