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Finding the Third Proportional to 41,526 and 62,721

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Solution

The third proportional to 41,526 and 62,721 is: 94,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,526 : 62,721 = 62,721 : x
  2. Step 2: Convert to fraction form
    41,526/62,721 = 62,721/x
  3. Step 3: Cross multiply
    41,526x = 62,721 × 62,721
  4. Step 4: Simplify right side
    41,526x = 3,933,923,841
  5. Step 5: Solve for x
    x = 3,933,923,841/41,526
  6. Step 6: Final answer
    x = 94,733.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.