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Finding the Third Proportional to 41,637 and 63,497

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Solution

The third proportional to 41,637 and 63,497 is: 96,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,637 : 63,497 = 63,497 : x
  2. Step 2: Convert to fraction form
    41,637/63,497 = 63,497/x
  3. Step 3: Cross multiply
    41,637x = 63,497 × 63,497
  4. Step 4: Simplify right side
    41,637x = 4,031,869,009
  5. Step 5: Solve for x
    x = 4,031,869,009/41,637
  6. Step 6: Final answer
    x = 96,833.80

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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.