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Finding the Third Proportional to 23,880 and 52,464

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Solution

The third proportional to 23,880 and 52,464 is: 115,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880 : 52,464 = 52,464 : x
  2. Step 2: Convert to fraction form
    23,880/52,464 = 52,464/x
  3. Step 3: Cross multiply
    23,880x = 52,464 × 52,464
  4. Step 4: Simplify right side
    23,880x = 2,752,471,296
  5. Step 5: Solve for x
    x = 2,752,471,296/23,880
  6. Step 6: Final answer
    x = 115,262.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.