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Finding the Third Proportional to 31,381 and 48,924

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Solution

The third proportional to 31,381 and 48,924 is: 76,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381 : 48,924 = 48,924 : x
  2. Step 2: Convert to fraction form
    31,381/48,924 = 48,924/x
  3. Step 3: Cross multiply
    31,381x = 48,924 × 48,924
  4. Step 4: Simplify right side
    31,381x = 2,393,557,776
  5. Step 5: Solve for x
    x = 2,393,557,776/31,381
  6. Step 6: Final answer
    x = 76,274.11

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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.