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Finding the Third Proportional to 40,040 and 59,844

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Solution

The third proportional to 40,040 and 59,844 is: 89,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,040 : 59,844 = 59,844 : x
  2. Step 2: Convert to fraction form
    40,040/59,844 = 59,844/x
  3. Step 3: Cross multiply
    40,040x = 59,844 × 59,844
  4. Step 4: Simplify right side
    40,040x = 3,581,304,336
  5. Step 5: Solve for x
    x = 3,581,304,336/40,040
  6. Step 6: Final answer
    x = 89,443.17

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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.