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Finding the Third Proportional to 23,752.41 and 51,310.97

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Solution

The third proportional to 23,752.41 and 51,310.97 is: 110,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.41 : 51,310.97 = 51,310.97 : x
  2. Step 2: Convert to fraction form
    23,752.41/51,310.97 = 51,310.97/x
  3. Step 3: Cross multiply
    23,752.41x = 51,310.97 × 51,310.97
  4. Step 4: Simplify right side
    23,752.41x = 2,632,815,514.06
  5. Step 5: Solve for x
    x = 2,632,815,514.06/23,752.41
  6. Step 6: Final answer
    x = 110,844.16

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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.