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Finding the Third Proportional to 36,853.52 and 80,608.08

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Solution

The third proportional to 36,853.52 and 80,608.08 is: 176,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853.52 : 80,608.08 = 80,608.08 : x
  2. Step 2: Convert to fraction form
    36,853.52/80,608.08 = 80,608.08/x
  3. Step 3: Cross multiply
    36,853.52x = 80,608.08 × 80,608.08
  4. Step 4: Simplify right side
    36,853.52x = 6,497,662,259.01
  5. Step 5: Solve for x
    x = 6,497,662,259.01/36,853.52
  6. Step 6: Final answer
    x = 176,310.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.