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Finding the Third Proportional to 36,298.13 and 79,157.25

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Solution

The third proportional to 36,298.13 and 79,157.25 is: 172,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.13 : 79,157.25 = 79,157.25 : x
  2. Step 2: Convert to fraction form
    36,298.13/79,157.25 = 79,157.25/x
  3. Step 3: Cross multiply
    36,298.13x = 79,157.25 × 79,157.25
  4. Step 4: Simplify right side
    36,298.13x = 6,265,870,227.56
  5. Step 5: Solve for x
    x = 6,265,870,227.56/36,298.13
  6. Step 6: Final answer
    x = 172,622.42

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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.