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Finding the Third Proportional to 22,005 and 53,226

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Solution

The third proportional to 22,005 and 53,226 is: 128,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 53,226 = 53,226 : x
  2. Step 2: Convert to fraction form
    22,005/53,226 = 53,226/x
  3. Step 3: Cross multiply
    22,005x = 53,226 × 53,226
  4. Step 4: Simplify right side
    22,005x = 2,833,007,076
  5. Step 5: Solve for x
    x = 2,833,007,076/22,005
  6. Step 6: Final answer
    x = 128,743.79

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.