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Finding the Third Proportional to 15,514.75 and 33,489.50

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Solution

The third proportional to 15,514.75 and 33,489.50 is: 72,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.75 : 33,489.50 = 33,489.50 : x
  2. Step 2: Convert to fraction form
    15,514.75/33,489.50 = 33,489.50/x
  3. Step 3: Cross multiply
    15,514.75x = 33,489.50 × 33,489.50
  4. Step 4: Simplify right side
    15,514.75x = 1,121,546,610.25
  5. Step 5: Solve for x
    x = 1,121,546,610.25/15,514.75
  6. Step 6: Final answer
    x = 72,289.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.