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Finding the Third Proportional to 40,011 and 59,721

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Solution

The third proportional to 40,011 and 59,721 is: 89,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,011 : 59,721 = 59,721 : x
  2. Step 2: Convert to fraction form
    40,011/59,721 = 59,721/x
  3. Step 3: Cross multiply
    40,011x = 59,721 × 59,721
  4. Step 4: Simplify right side
    40,011x = 3,566,597,841
  5. Step 5: Solve for x
    x = 3,566,597,841/40,011
  6. Step 6: Final answer
    x = 89,140.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.