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Finding the Third Proportional to 24,492 and 52,872

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Solution

The third proportional to 24,492 and 52,872 is: 114,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492 : 52,872 = 52,872 : x
  2. Step 2: Convert to fraction form
    24,492/52,872 = 52,872/x
  3. Step 3: Cross multiply
    24,492x = 52,872 × 52,872
  4. Step 4: Simplify right side
    24,492x = 2,795,448,384
  5. Step 5: Solve for x
    x = 2,795,448,384/24,492
  6. Step 6: Final answer
    x = 114,137.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.