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Finding the Third Proportional to 31,252 and 43,747

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Solution

The third proportional to 31,252 and 43,747 is: 61,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252 : 43,747 = 43,747 : x
  2. Step 2: Convert to fraction form
    31,252/43,747 = 43,747/x
  3. Step 3: Cross multiply
    31,252x = 43,747 × 43,747
  4. Step 4: Simplify right side
    31,252x = 1,913,800,009
  5. Step 5: Solve for x
    x = 1,913,800,009/31,252
  6. Step 6: Final answer
    x = 61,237.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.