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Finding the Third Proportional to 37,982.04 and 54,000.11

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Solution

The third proportional to 37,982.04 and 54,000.11 is: 76,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982.04 : 54,000.11 = 54,000.11 : x
  2. Step 2: Convert to fraction form
    37,982.04/54,000.11 = 54,000.11/x
  3. Step 3: Cross multiply
    37,982.04x = 54,000.11 × 54,000.11
  4. Step 4: Simplify right side
    37,982.04x = 2,916,011,390.64
  5. Step 5: Solve for x
    x = 2,916,011,390.64/37,982.04
  6. Step 6: Final answer
    x = 76,773.43

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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.