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Finding the Third Proportional to 24,159 and 49,001

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Solution

The third proportional to 24,159 and 49,001 is: 99,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159 : 49,001 = 49,001 : x
  2. Step 2: Convert to fraction form
    24,159/49,001 = 49,001/x
  3. Step 3: Cross multiply
    24,159x = 49,001 × 49,001
  4. Step 4: Simplify right side
    24,159x = 2,401,098,001
  5. Step 5: Solve for x
    x = 2,401,098,001/24,159
  6. Step 6: Final answer
    x = 99,387.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.