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Finding the Third Proportional to 9,416 and 17,266

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Solution

The third proportional to 9,416 and 17,266 is: 31,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416 : 17,266 = 17,266 : x
  2. Step 2: Convert to fraction form
    9,416/17,266 = 17,266/x
  3. Step 3: Cross multiply
    9,416x = 17,266 × 17,266
  4. Step 4: Simplify right side
    9,416x = 298,114,756
  5. Step 5: Solve for x
    x = 298,114,756/9,416
  6. Step 6: Final answer
    x = 31,660.45

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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.