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Finding the Third Proportional to 31,600 and 44,920

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Solution

The third proportional to 31,600 and 44,920 is: 63,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600 : 44,920 = 44,920 : x
  2. Step 2: Convert to fraction form
    31,600/44,920 = 44,920/x
  3. Step 3: Cross multiply
    31,600x = 44,920 × 44,920
  4. Step 4: Simplify right side
    31,600x = 2,017,806,400
  5. Step 5: Solve for x
    x = 2,017,806,400/31,600
  6. Step 6: Final answer
    x = 63,854.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.