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Finding the Third Proportional to 18,413 and 38,467

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Solution

The third proportional to 18,413 and 38,467 is: 80,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413 : 38,467 = 38,467 : x
  2. Step 2: Convert to fraction form
    18,413/38,467 = 38,467/x
  3. Step 3: Cross multiply
    18,413x = 38,467 × 38,467
  4. Step 4: Simplify right side
    18,413x = 1,479,710,089
  5. Step 5: Solve for x
    x = 1,479,710,089/18,413
  6. Step 6: Final answer
    x = 80,362.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.