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Finding the Third Proportional to 9,408 and 13,778.25

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Solution

The third proportional to 9,408 and 13,778.25 is: 20,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 13,778.25 = 13,778.25 : x
  2. Step 2: Convert to fraction form
    9,408/13,778.25 = 13,778.25/x
  3. Step 3: Cross multiply
    9,408x = 13,778.25 × 13,778.25
  4. Step 4: Simplify right side
    9,408x = 189,840,173.06
  5. Step 5: Solve for x
    x = 189,840,173.06/9,408
  6. Step 6: Final answer
    x = 20,178.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.