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Finding the Third Proportional to 24,006 and 34,524

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Solution

The third proportional to 24,006 and 34,524 is: 49,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006 : 34,524 = 34,524 : x
  2. Step 2: Convert to fraction form
    24,006/34,524 = 34,524/x
  3. Step 3: Cross multiply
    24,006x = 34,524 × 34,524
  4. Step 4: Simplify right side
    24,006x = 1,191,906,576
  5. Step 5: Solve for x
    x = 1,191,906,576/24,006
  6. Step 6: Final answer
    x = 49,650.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.