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Finding the Third Proportional to 38,182 and 61,378

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Solution

The third proportional to 38,182 and 61,378 is: 98,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182 : 61,378 = 61,378 : x
  2. Step 2: Convert to fraction form
    38,182/61,378 = 61,378/x
  3. Step 3: Cross multiply
    38,182x = 61,378 × 61,378
  4. Step 4: Simplify right side
    38,182x = 3,767,258,884
  5. Step 5: Solve for x
    x = 3,767,258,884/38,182
  6. Step 6: Final answer
    x = 98,665.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.