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Finding the Third Proportional to 40,044 and 59,982

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Solution

The third proportional to 40,044 and 59,982 is: 89,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,044 : 59,982 = 59,982 : x
  2. Step 2: Convert to fraction form
    40,044/59,982 = 59,982/x
  3. Step 3: Cross multiply
    40,044x = 59,982 × 59,982
  4. Step 4: Simplify right side
    40,044x = 3,597,840,324
  5. Step 5: Solve for x
    x = 3,597,840,324/40,044
  6. Step 6: Final answer
    x = 89,847.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.