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Finding the Third Proportional to 22,173.38 and 49,267.31

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Solution

The third proportional to 22,173.38 and 49,267.31 is: 109,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,173.38 : 49,267.31 = 49,267.31 : x
  2. Step 2: Convert to fraction form
    22,173.38/49,267.31 = 49,267.31/x
  3. Step 3: Cross multiply
    22,173.38x = 49,267.31 × 49,267.31
  4. Step 4: Simplify right side
    22,173.38x = 2,427,268,080.97
  5. Step 5: Solve for x
    x = 2,427,268,080.97/22,173.38
  6. Step 6: Final answer
    x = 109,467.69

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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.