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Finding the Third Proportional to 38,646 and 59,715

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Solution

The third proportional to 38,646 and 59,715 is: 92,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646 : 59,715 = 59,715 : x
  2. Step 2: Convert to fraction form
    38,646/59,715 = 59,715/x
  3. Step 3: Cross multiply
    38,646x = 59,715 × 59,715
  4. Step 4: Simplify right side
    38,646x = 3,565,881,225
  5. Step 5: Solve for x
    x = 3,565,881,225/38,646
  6. Step 6: Final answer
    x = 92,270.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.