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Finding the Third Proportional to 11,334 and 15,721

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Solution

The third proportional to 11,334 and 15,721 is: 21,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334 : 15,721 = 15,721 : x
  2. Step 2: Convert to fraction form
    11,334/15,721 = 15,721/x
  3. Step 3: Cross multiply
    11,334x = 15,721 × 15,721
  4. Step 4: Simplify right side
    11,334x = 247,149,841
  5. Step 5: Solve for x
    x = 247,149,841/11,334
  6. Step 6: Final answer
    x = 21,806.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.