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Finding the Third Proportional to 40,842 and 61,074

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Solution

The third proportional to 40,842 and 61,074 is: 91,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842 : 61,074 = 61,074 : x
  2. Step 2: Convert to fraction form
    40,842/61,074 = 61,074/x
  3. Step 3: Cross multiply
    40,842x = 61,074 × 61,074
  4. Step 4: Simplify right side
    40,842x = 3,730,033,476
  5. Step 5: Solve for x
    x = 3,730,033,476/40,842
  6. Step 6: Final answer
    x = 91,328.37

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