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Finding the Third Proportional to 36,770.06 and 79,372.13

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Solution

The third proportional to 36,770.06 and 79,372.13 is: 171,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,770.06 : 79,372.13 = 79,372.13 : x
  2. Step 2: Convert to fraction form
    36,770.06/79,372.13 = 79,372.13/x
  3. Step 3: Cross multiply
    36,770.06x = 79,372.13 × 79,372.13
  4. Step 4: Simplify right side
    36,770.06x = 6,299,934,227.02
  5. Step 5: Solve for x
    x = 6,299,934,227.02/36,770.06
  6. Step 6: Final answer
    x = 171,333.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.