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Finding the Third Proportional to 36,540 and 79,778.25

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Solution

The third proportional to 36,540 and 79,778.25 is: 174,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 79,778.25 = 79,778.25 : x
  2. Step 2: Convert to fraction form
    36,540/79,778.25 = 79,778.25/x
  3. Step 3: Cross multiply
    36,540x = 79,778.25 × 79,778.25
  4. Step 4: Simplify right side
    36,540x = 6,364,569,173.06
  5. Step 5: Solve for x
    x = 6,364,569,173.06/36,540
  6. Step 6: Final answer
    x = 174,180.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.