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Finding the Third Proportional to 37,965 and 54,681

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Solution

The third proportional to 37,965 and 54,681 is: 78,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,965 : 54,681 = 54,681 : x
  2. Step 2: Convert to fraction form
    37,965/54,681 = 54,681/x
  3. Step 3: Cross multiply
    37,965x = 54,681 × 54,681
  4. Step 4: Simplify right side
    37,965x = 2,990,011,761
  5. Step 5: Solve for x
    x = 2,990,011,761/37,965
  6. Step 6: Final answer
    x = 78,757.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.