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Finding the Third Proportional to 18,413 and 38,466

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Solution

The third proportional to 18,413 and 38,466 is: 80,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413 : 38,466 = 38,466 : x
  2. Step 2: Convert to fraction form
    18,413/38,466 = 38,466/x
  3. Step 3: Cross multiply
    18,413x = 38,466 × 38,466
  4. Step 4: Simplify right side
    18,413x = 1,479,633,156
  5. Step 5: Solve for x
    x = 1,479,633,156/18,413
  6. Step 6: Final answer
    x = 80,358.07

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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.