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Finding the Third Proportional to 4,677 and 11,166

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Solution

The third proportional to 4,677 and 11,166 is: 26,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 11,166 = 11,166 : x
  2. Step 2: Convert to fraction form
    4,677/11,166 = 11,166/x
  3. Step 3: Cross multiply
    4,677x = 11,166 × 11,166
  4. Step 4: Simplify right side
    4,677x = 124,679,556
  5. Step 5: Solve for x
    x = 124,679,556/4,677
  6. Step 6: Final answer
    x = 26,658.02

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.