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Finding the Third Proportional to 11,821.78 and 25,739.44

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Solution

The third proportional to 11,821.78 and 25,739.44 is: 56,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.78 : 25,739.44 = 25,739.44 : x
  2. Step 2: Convert to fraction form
    11,821.78/25,739.44 = 25,739.44/x
  3. Step 3: Cross multiply
    11,821.78x = 25,739.44 × 25,739.44
  4. Step 4: Simplify right side
    11,821.78x = 662,518,642.82
  5. Step 5: Solve for x
    x = 662,518,642.82/11,821.78
  6. Step 6: Final answer
    x = 56,042.20

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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.