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Finding the Third Proportional to 24,540 and 52,005

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Solution

The third proportional to 24,540 and 52,005 is: 110,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540 : 52,005 = 52,005 : x
  2. Step 2: Convert to fraction form
    24,540/52,005 = 52,005/x
  3. Step 3: Cross multiply
    24,540x = 52,005 × 52,005
  4. Step 4: Simplify right side
    24,540x = 2,704,520,025
  5. Step 5: Solve for x
    x = 2,704,520,025/24,540
  6. Step 6: Final answer
    x = 110,208.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.