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Finding the Third Proportional to 40,062 and 59,814

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Solution

The third proportional to 40,062 and 59,814 is: 89,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,062 : 59,814 = 59,814 : x
  2. Step 2: Convert to fraction form
    40,062/59,814 = 59,814/x
  3. Step 3: Cross multiply
    40,062x = 59,814 × 59,814
  4. Step 4: Simplify right side
    40,062x = 3,577,714,596
  5. Step 5: Solve for x
    x = 3,577,714,596/40,062
  6. Step 6: Final answer
    x = 89,304.44

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