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Finding the Third Proportional to 38,870 and 59,431

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Solution

The third proportional to 38,870 and 59,431 is: 90,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,870 : 59,431 = 59,431 : x
  2. Step 2: Convert to fraction form
    38,870/59,431 = 59,431/x
  3. Step 3: Cross multiply
    38,870x = 59,431 × 59,431
  4. Step 4: Simplify right side
    38,870x = 3,532,043,761
  5. Step 5: Solve for x
    x = 3,532,043,761/38,870
  6. Step 6: Final answer
    x = 90,868.12

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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.