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Finding the Third Proportional to 5,471 and 11,720

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Solution

The third proportional to 5,471 and 11,720 is: 25,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471 : 11,720 = 11,720 : x
  2. Step 2: Convert to fraction form
    5,471/11,720 = 11,720/x
  3. Step 3: Cross multiply
    5,471x = 11,720 × 11,720
  4. Step 4: Simplify right side
    5,471x = 137,358,400
  5. Step 5: Solve for x
    x = 137,358,400/5,471
  6. Step 6: Final answer
    x = 25,106.63

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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.