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Finding the Third Proportional to 31,397 and 44,635

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Solution

The third proportional to 31,397 and 44,635 is: 63,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397 : 44,635 = 44,635 : x
  2. Step 2: Convert to fraction form
    31,397/44,635 = 44,635/x
  3. Step 3: Cross multiply
    31,397x = 44,635 × 44,635
  4. Step 4: Simplify right side
    31,397x = 1,992,283,225
  5. Step 5: Solve for x
    x = 1,992,283,225/31,397
  6. Step 6: Final answer
    x = 63,454.57

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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.