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Finding the Third Proportional to 38,675 and 84,822

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Solution

The third proportional to 38,675 and 84,822 is: 186,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675 : 84,822 = 84,822 : x
  2. Step 2: Convert to fraction form
    38,675/84,822 = 84,822/x
  3. Step 3: Cross multiply
    38,675x = 84,822 × 84,822
  4. Step 4: Simplify right side
    38,675x = 7,194,771,684
  5. Step 5: Solve for x
    x = 7,194,771,684/38,675
  6. Step 6: Final answer
    x = 186,031.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.