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Finding the Third Proportional to 38,378 and 83,413

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Solution

The third proportional to 38,378 and 83,413 is: 181,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378 : 83,413 = 83,413 : x
  2. Step 2: Convert to fraction form
    38,378/83,413 = 83,413/x
  3. Step 3: Cross multiply
    38,378x = 83,413 × 83,413
  4. Step 4: Simplify right side
    38,378x = 6,957,728,569
  5. Step 5: Solve for x
    x = 6,957,728,569/38,378
  6. Step 6: Final answer
    x = 181,294.71

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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.