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Finding the Third Proportional to 38,037 and 55,980

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Solution

The third proportional to 38,037 and 55,980 is: 82,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037 : 55,980 = 55,980 : x
  2. Step 2: Convert to fraction form
    38,037/55,980 = 55,980/x
  3. Step 3: Cross multiply
    38,037x = 55,980 × 55,980
  4. Step 4: Simplify right side
    38,037x = 3,133,760,400
  5. Step 5: Solve for x
    x = 3,133,760,400/38,037
  6. Step 6: Final answer
    x = 82,387.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.