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Finding the Third Proportional to 24,048 and 52,524

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Solution

The third proportional to 24,048 and 52,524 is: 114,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048 : 52,524 = 52,524 : x
  2. Step 2: Convert to fraction form
    24,048/52,524 = 52,524/x
  3. Step 3: Cross multiply
    24,048x = 52,524 × 52,524
  4. Step 4: Simplify right side
    24,048x = 2,758,770,576
  5. Step 5: Solve for x
    x = 2,758,770,576/24,048
  6. Step 6: Final answer
    x = 114,719.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.