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Finding the Third Proportional to 36,102.38 and 79,410.38

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Solution

The third proportional to 36,102.38 and 79,410.38 is: 174,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102.38 : 79,410.38 = 79,410.38 : x
  2. Step 2: Convert to fraction form
    36,102.38/79,410.38 = 79,410.38/x
  3. Step 3: Cross multiply
    36,102.38x = 79,410.38 × 79,410.38
  4. Step 4: Simplify right side
    36,102.38x = 6,306,007,657.64
  5. Step 5: Solve for x
    x = 6,306,007,657.64/36,102.38
  6. Step 6: Final answer
    x = 174,670.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.