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Finding the Third Proportional to 37,675 and 83,017

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Solution

The third proportional to 37,675 and 83,017 is: 182,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675 : 83,017 = 83,017 : x
  2. Step 2: Convert to fraction form
    37,675/83,017 = 83,017/x
  3. Step 3: Cross multiply
    37,675x = 83,017 × 83,017
  4. Step 4: Simplify right side
    37,675x = 6,891,822,289
  5. Step 5: Solve for x
    x = 6,891,822,289/37,675
  6. Step 6: Final answer
    x = 182,928.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.