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Finding the Third Proportional to 9,408 and 17,184

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Solution

The third proportional to 9,408 and 17,184 is: 31,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 17,184 = 17,184 : x
  2. Step 2: Convert to fraction form
    9,408/17,184 = 17,184/x
  3. Step 3: Cross multiply
    9,408x = 17,184 × 17,184
  4. Step 4: Simplify right side
    9,408x = 295,289,856
  5. Step 5: Solve for x
    x = 295,289,856/9,408
  6. Step 6: Final answer
    x = 31,387.10

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.