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Finding the Third Proportional to 41,573.50 and 63,398

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Solution

The third proportional to 41,573.50 and 63,398 is: 96,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573.50 : 63,398 = 63,398 : x
  2. Step 2: Convert to fraction form
    41,573.50/63,398 = 63,398/x
  3. Step 3: Cross multiply
    41,573.50x = 63,398 × 63,398
  4. Step 4: Simplify right side
    41,573.50x = 4,019,306,404
  5. Step 5: Solve for x
    x = 4,019,306,404/41,573.50
  6. Step 6: Final answer
    x = 96,679.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.