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Finding the Third Proportional to 38,544 and 83,639

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Solution

The third proportional to 38,544 and 83,639 is: 181,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544 : 83,639 = 83,639 : x
  2. Step 2: Convert to fraction form
    38,544/83,639 = 83,639/x
  3. Step 3: Cross multiply
    38,544x = 83,639 × 83,639
  4. Step 4: Simplify right side
    38,544x = 6,995,482,321
  5. Step 5: Solve for x
    x = 6,995,482,321/38,544
  6. Step 6: Final answer
    x = 181,493.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.