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Finding the Third Proportional to 9,611 and 23,259

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Solution

The third proportional to 9,611 and 23,259 is: 56,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611 : 23,259 = 23,259 : x
  2. Step 2: Convert to fraction form
    9,611/23,259 = 23,259/x
  3. Step 3: Cross multiply
    9,611x = 23,259 × 23,259
  4. Step 4: Simplify right side
    9,611x = 540,981,081
  5. Step 5: Solve for x
    x = 540,981,081/9,611
  6. Step 6: Final answer
    x = 56,287.70

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.