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Finding the Third Proportional to 15,745.64 and 22,418.02

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Solution

The third proportional to 15,745.64 and 22,418.02 is: 31,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.64 : 22,418.02 = 22,418.02 : x
  2. Step 2: Convert to fraction form
    15,745.64/22,418.02 = 22,418.02/x
  3. Step 3: Cross multiply
    15,745.64x = 22,418.02 × 22,418.02
  4. Step 4: Simplify right side
    15,745.64x = 502,567,424.56
  5. Step 5: Solve for x
    x = 502,567,424.56/15,745.64
  6. Step 6: Final answer
    x = 31,917.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.