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Finding the Third Proportional to 29,514.56 and 33,205.13

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Solution

The third proportional to 29,514.56 and 33,205.13 is: 37,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.56 : 33,205.13 = 33,205.13 : x
  2. Step 2: Convert to fraction form
    29,514.56/33,205.13 = 33,205.13/x
  3. Step 3: Cross multiply
    29,514.56x = 33,205.13 × 33,205.13
  4. Step 4: Simplify right side
    29,514.56x = 1,102,580,326.27
  5. Step 5: Solve for x
    x = 1,102,580,326.27/29,514.56
  6. Step 6: Final answer
    x = 37,357.16

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.