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Finding the Third Proportional to 31,956 and 48,381

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Solution

The third proportional to 31,956 and 48,381 is: 73,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956 : 48,381 = 48,381 : x
  2. Step 2: Convert to fraction form
    31,956/48,381 = 48,381/x
  3. Step 3: Cross multiply
    31,956x = 48,381 × 48,381
  4. Step 4: Simplify right side
    31,956x = 2,340,721,161
  5. Step 5: Solve for x
    x = 2,340,721,161/31,956
  6. Step 6: Final answer
    x = 73,248.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.