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Finding the Third Proportional to 4,471 and 5,101

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Solution

The third proportional to 4,471 and 5,101 is: 5,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471 : 5,101 = 5,101 : x
  2. Step 2: Convert to fraction form
    4,471/5,101 = 5,101/x
  3. Step 3: Cross multiply
    4,471x = 5,101 × 5,101
  4. Step 4: Simplify right side
    4,471x = 26,020,201
  5. Step 5: Solve for x
    x = 26,020,201/4,471
  6. Step 6: Final answer
    x = 5,819.77

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.