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Finding the Third Proportional to 4,471 and 10,521

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Solution

The third proportional to 4,471 and 10,521 is: 24,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471 : 10,521 = 10,521 : x
  2. Step 2: Convert to fraction form
    4,471/10,521 = 10,521/x
  3. Step 3: Cross multiply
    4,471x = 10,521 × 10,521
  4. Step 4: Simplify right side
    4,471x = 110,691,441
  5. Step 5: Solve for x
    x = 110,691,441/4,471
  6. Step 6: Final answer
    x = 24,757.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.