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Finding the Third Proportional to 6,902 and 9,408

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Solution

The third proportional to 6,902 and 9,408 is: 12,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 9,408 = 9,408 : x
  2. Step 2: Convert to fraction form
    6,902/9,408 = 9,408/x
  3. Step 3: Cross multiply
    6,902x = 9,408 × 9,408
  4. Step 4: Simplify right side
    6,902x = 88,510,464
  5. Step 5: Solve for x
    x = 88,510,464/6,902
  6. Step 6: Final answer
    x = 12,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.