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Finding the Third Proportional to 8,277 and 13,341

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Solution

The third proportional to 8,277 and 13,341 is: 21,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277 : 13,341 = 13,341 : x
  2. Step 2: Convert to fraction form
    8,277/13,341 = 13,341/x
  3. Step 3: Cross multiply
    8,277x = 13,341 × 13,341
  4. Step 4: Simplify right side
    8,277x = 177,982,281
  5. Step 5: Solve for x
    x = 177,982,281/8,277
  6. Step 6: Final answer
    x = 21,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.