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Finding the Third Proportional to 18,488 and 38,488

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Solution

The third proportional to 18,488 and 38,488 is: 80,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,488 : 38,488 = 38,488 : x
  2. Step 2: Convert to fraction form
    18,488/38,488 = 38,488/x
  3. Step 3: Cross multiply
    18,488x = 38,488 × 38,488
  4. Step 4: Simplify right side
    18,488x = 1,481,326,144
  5. Step 5: Solve for x
    x = 1,481,326,144/18,488
  6. Step 6: Final answer
    x = 80,123.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.