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Finding the Third Proportional to 38,324 and 59,817

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Solution

The third proportional to 38,324 and 59,817 is: 93,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324 : 59,817 = 59,817 : x
  2. Step 2: Convert to fraction form
    38,324/59,817 = 59,817/x
  3. Step 3: Cross multiply
    38,324x = 59,817 × 59,817
  4. Step 4: Simplify right side
    38,324x = 3,578,073,489
  5. Step 5: Solve for x
    x = 3,578,073,489/38,324
  6. Step 6: Final answer
    x = 93,363.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.