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Finding the Third Proportional to 38,578 and 83,987

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Solution

The third proportional to 38,578 and 83,987 is: 182,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578 : 83,987 = 83,987 : x
  2. Step 2: Convert to fraction form
    38,578/83,987 = 83,987/x
  3. Step 3: Cross multiply
    38,578x = 83,987 × 83,987
  4. Step 4: Simplify right side
    38,578x = 7,053,816,169
  5. Step 5: Solve for x
    x = 7,053,816,169/38,578
  6. Step 6: Final answer
    x = 182,845.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.