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Finding the Third Proportional to 24,742 and 55,006

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Solution

The third proportional to 24,742 and 55,006 is: 122,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 55,006 = 55,006 : x
  2. Step 2: Convert to fraction form
    24,742/55,006 = 55,006/x
  3. Step 3: Cross multiply
    24,742x = 55,006 × 55,006
  4. Step 4: Simplify right side
    24,742x = 3,025,660,036
  5. Step 5: Solve for x
    x = 3,025,660,036/24,742
  6. Step 6: Final answer
    x = 122,288.42

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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.