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Finding the Third Proportional to 37,754 and 52,811

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Solution

The third proportional to 37,754 and 52,811 is: 73,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754 : 52,811 = 52,811 : x
  2. Step 2: Convert to fraction form
    37,754/52,811 = 52,811/x
  3. Step 3: Cross multiply
    37,754x = 52,811 × 52,811
  4. Step 4: Simplify right side
    37,754x = 2,789,001,721
  5. Step 5: Solve for x
    x = 2,789,001,721/37,754
  6. Step 6: Final answer
    x = 73,873.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.