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Finding the Third Proportional to 11,169 and 24,571

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Solution

The third proportional to 11,169 and 24,571 is: 54,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169 : 24,571 = 24,571 : x
  2. Step 2: Convert to fraction form
    11,169/24,571 = 24,571/x
  3. Step 3: Cross multiply
    11,169x = 24,571 × 24,571
  4. Step 4: Simplify right side
    11,169x = 603,734,041
  5. Step 5: Solve for x
    x = 603,734,041/11,169
  6. Step 6: Final answer
    x = 54,054.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.