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Finding the Third Proportional to 41,739 and 63,642

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Solution

The third proportional to 41,739 and 63,642 is: 97,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,739 : 63,642 = 63,642 : x
  2. Step 2: Convert to fraction form
    41,739/63,642 = 63,642/x
  3. Step 3: Cross multiply
    41,739x = 63,642 × 63,642
  4. Step 4: Simplify right side
    41,739x = 4,050,304,164
  5. Step 5: Solve for x
    x = 4,050,304,164/41,739
  6. Step 6: Final answer
    x = 97,038.84

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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.