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Finding the Third Proportional to 5,269 and 11,260

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Solution

The third proportional to 5,269 and 11,260 is: 24,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269 : 11,260 = 11,260 : x
  2. Step 2: Convert to fraction form
    5,269/11,260 = 11,260/x
  3. Step 3: Cross multiply
    5,269x = 11,260 × 11,260
  4. Step 4: Simplify right side
    5,269x = 126,787,600
  5. Step 5: Solve for x
    x = 126,787,600/5,269
  6. Step 6: Final answer
    x = 24,062.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.