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Finding the Third Proportional to 15,703.88 and 22,067.44

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Solution

The third proportional to 15,703.88 and 22,067.44 is: 31,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.88 : 22,067.44 = 22,067.44 : x
  2. Step 2: Convert to fraction form
    15,703.88/22,067.44 = 22,067.44/x
  3. Step 3: Cross multiply
    15,703.88x = 22,067.44 × 22,067.44
  4. Step 4: Simplify right side
    15,703.88x = 486,971,797.82
  5. Step 5: Solve for x
    x = 486,971,797.82/15,703.88
  6. Step 6: Final answer
    x = 31,009.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.