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Finding the Third Proportional to 31,862 and 44,573

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Solution

The third proportional to 31,862 and 44,573 is: 62,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862 : 44,573 = 44,573 : x
  2. Step 2: Convert to fraction form
    31,862/44,573 = 44,573/x
  3. Step 3: Cross multiply
    31,862x = 44,573 × 44,573
  4. Step 4: Simplify right side
    31,862x = 1,986,752,329
  5. Step 5: Solve for x
    x = 1,986,752,329/31,862
  6. Step 6: Final answer
    x = 62,354.92

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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.