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Finding the Third Proportional to 41,536 and 63,596

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Solution

The third proportional to 41,536 and 63,596 is: 97,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 63,596 = 63,596 : x
  2. Step 2: Convert to fraction form
    41,536/63,596 = 63,596/x
  3. Step 3: Cross multiply
    41,536x = 63,596 × 63,596
  4. Step 4: Simplify right side
    41,536x = 4,044,451,216
  5. Step 5: Solve for x
    x = 4,044,451,216/41,536
  6. Step 6: Final answer
    x = 97,372.19

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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.