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Finding the Third Proportional to 7,514.44 and 16,071.19

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Solution

The third proportional to 7,514.44 and 16,071.19 is: 34,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.44 : 16,071.19 = 16,071.19 : x
  2. Step 2: Convert to fraction form
    7,514.44/16,071.19 = 16,071.19/x
  3. Step 3: Cross multiply
    7,514.44x = 16,071.19 × 16,071.19
  4. Step 4: Simplify right side
    7,514.44x = 258,283,067.66
  5. Step 5: Solve for x
    x = 258,283,067.66/7,514.44
  6. Step 6: Final answer
    x = 34,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.