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Finding the Third Proportional to 36,115.88 and 77,608.13

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Solution

The third proportional to 36,115.88 and 77,608.13 is: 166,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.88 : 77,608.13 = 77,608.13 : x
  2. Step 2: Convert to fraction form
    36,115.88/77,608.13 = 77,608.13/x
  3. Step 3: Cross multiply
    36,115.88x = 77,608.13 × 77,608.13
  4. Step 4: Simplify right side
    36,115.88x = 6,023,021,066.02
  5. Step 5: Solve for x
    x = 6,023,021,066.02/36,115.88
  6. Step 6: Final answer
    x = 166,769.35

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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.