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Finding the Third Proportional to 41,524 and 63,512

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Solution

The third proportional to 41,524 and 63,512 is: 97,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,524 : 63,512 = 63,512 : x
  2. Step 2: Convert to fraction form
    41,524/63,512 = 63,512/x
  3. Step 3: Cross multiply
    41,524x = 63,512 × 63,512
  4. Step 4: Simplify right side
    41,524x = 4,033,774,144
  5. Step 5: Solve for x
    x = 4,033,774,144/41,524
  6. Step 6: Final answer
    x = 97,143.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.