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Finding the Third Proportional to 37,808 and 54,120

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Solution

The third proportional to 37,808 and 54,120 is: 77,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,808 : 54,120 = 54,120 : x
  2. Step 2: Convert to fraction form
    37,808/54,120 = 54,120/x
  3. Step 3: Cross multiply
    37,808x = 54,120 × 54,120
  4. Step 4: Simplify right side
    37,808x = 2,928,974,400
  5. Step 5: Solve for x
    x = 2,928,974,400/37,808
  6. Step 6: Final answer
    x = 77,469.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.