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Finding the Third Proportional to 38,394 and 59,231

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Solution

The third proportional to 38,394 and 59,231 is: 91,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 59,231 = 59,231 : x
  2. Step 2: Convert to fraction form
    38,394/59,231 = 59,231/x
  3. Step 3: Cross multiply
    38,394x = 59,231 × 59,231
  4. Step 4: Simplify right side
    38,394x = 3,508,311,361
  5. Step 5: Solve for x
    x = 3,508,311,361/38,394
  6. Step 6: Final answer
    x = 91,376.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.