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Finding the Third Proportional to 29,408 and 38,184

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Solution

The third proportional to 29,408 and 38,184 is: 49,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 38,184 = 38,184 : x
  2. Step 2: Convert to fraction form
    29,408/38,184 = 38,184/x
  3. Step 3: Cross multiply
    29,408x = 38,184 × 38,184
  4. Step 4: Simplify right side
    29,408x = 1,458,017,856
  5. Step 5: Solve for x
    x = 1,458,017,856/29,408
  6. Step 6: Final answer
    x = 49,578.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.