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Finding the Third Proportional to 36,532 and 78,523.25

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Solution

The third proportional to 36,532 and 78,523.25 is: 168,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 78,523.25 = 78,523.25 : x
  2. Step 2: Convert to fraction form
    36,532/78,523.25 = 78,523.25/x
  3. Step 3: Cross multiply
    36,532x = 78,523.25 × 78,523.25
  4. Step 4: Simplify right side
    36,532x = 6,165,900,790.56
  5. Step 5: Solve for x
    x = 6,165,900,790.56/36,532
  6. Step 6: Final answer
    x = 168,780.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.