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Finding the Third Proportional to 22,001 and 53,171

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Solution

The third proportional to 22,001 and 53,171 is: 128,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001 : 53,171 = 53,171 : x
  2. Step 2: Convert to fraction form
    22,001/53,171 = 53,171/x
  3. Step 3: Cross multiply
    22,001x = 53,171 × 53,171
  4. Step 4: Simplify right side
    22,001x = 2,827,155,241
  5. Step 5: Solve for x
    x = 2,827,155,241/22,001
  6. Step 6: Final answer
    x = 128,501.22

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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.