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Finding the Third Proportional to 38,710 and 59,811

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Solution

The third proportional to 38,710 and 59,811 is: 92,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710 : 59,811 = 59,811 : x
  2. Step 2: Convert to fraction form
    38,710/59,811 = 59,811/x
  3. Step 3: Cross multiply
    38,710x = 59,811 × 59,811
  4. Step 4: Simplify right side
    38,710x = 3,577,355,721
  5. Step 5: Solve for x
    x = 3,577,355,721/38,710
  6. Step 6: Final answer
    x = 92,414.25

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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.