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Finding the Third Proportional to 11,275 and 24,211

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Solution

The third proportional to 11,275 and 24,211 is: 51,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275 : 24,211 = 24,211 : x
  2. Step 2: Convert to fraction form
    11,275/24,211 = 24,211/x
  3. Step 3: Cross multiply
    11,275x = 24,211 × 24,211
  4. Step 4: Simplify right side
    11,275x = 586,172,521
  5. Step 5: Solve for x
    x = 586,172,521/11,275
  6. Step 6: Final answer
    x = 51,988.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.