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Finding the Third Proportional to 15,678.50 and 33,514.75

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Solution

The third proportional to 15,678.50 and 33,514.75 is: 71,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.50 : 33,514.75 = 33,514.75 : x
  2. Step 2: Convert to fraction form
    15,678.50/33,514.75 = 33,514.75/x
  3. Step 3: Cross multiply
    15,678.50x = 33,514.75 × 33,514.75
  4. Step 4: Simplify right side
    15,678.50x = 1,123,238,467.56
  5. Step 5: Solve for x
    x = 1,123,238,467.56/15,678.50
  6. Step 6: Final answer
    x = 71,641.96

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