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Finding the Third Proportional to 4,711 and 10,957

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Solution

The third proportional to 4,711 and 10,957 is: 25,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711 : 10,957 = 10,957 : x
  2. Step 2: Convert to fraction form
    4,711/10,957 = 10,957/x
  3. Step 3: Cross multiply
    4,711x = 10,957 × 10,957
  4. Step 4: Simplify right side
    4,711x = 120,055,849
  5. Step 5: Solve for x
    x = 120,055,849/4,711
  6. Step 6: Final answer
    x = 25,484.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.