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Finding the Third Proportional to 39,471 and 60,381

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Solution

The third proportional to 39,471 and 60,381 is: 92,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,471 : 60,381 = 60,381 : x
  2. Step 2: Convert to fraction form
    39,471/60,381 = 60,381/x
  3. Step 3: Cross multiply
    39,471x = 60,381 × 60,381
  4. Step 4: Simplify right side
    39,471x = 3,645,865,161
  5. Step 5: Solve for x
    x = 3,645,865,161/39,471
  6. Step 6: Final answer
    x = 92,368.20

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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.