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Finding the Third Proportional to 12,471.75 and 27,711

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Solution

The third proportional to 12,471.75 and 27,711 is: 61,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.75 : 27,711 = 27,711 : x
  2. Step 2: Convert to fraction form
    12,471.75/27,711 = 27,711/x
  3. Step 3: Cross multiply
    12,471.75x = 27,711 × 27,711
  4. Step 4: Simplify right side
    12,471.75x = 767,899,521
  5. Step 5: Solve for x
    x = 767,899,521/12,471.75
  6. Step 6: Final answer
    x = 61,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.