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Finding the Third Proportional to 40,074 and 56,961

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Solution

The third proportional to 40,074 and 56,961 is: 80,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,074 : 56,961 = 56,961 : x
  2. Step 2: Convert to fraction form
    40,074/56,961 = 56,961/x
  3. Step 3: Cross multiply
    40,074x = 56,961 × 56,961
  4. Step 4: Simplify right side
    40,074x = 3,244,555,521
  5. Step 5: Solve for x
    x = 3,244,555,521/40,074
  6. Step 6: Final answer
    x = 80,964.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.