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Finding the Third Proportional to 31,789 and 43,124

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Solution

The third proportional to 31,789 and 43,124 is: 58,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,789 : 43,124 = 43,124 : x
  2. Step 2: Convert to fraction form
    31,789/43,124 = 43,124/x
  3. Step 3: Cross multiply
    31,789x = 43,124 × 43,124
  4. Step 4: Simplify right side
    31,789x = 1,859,679,376
  5. Step 5: Solve for x
    x = 1,859,679,376/31,789
  6. Step 6: Final answer
    x = 58,500.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.