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Finding the Third Proportional to 36,595.75 and 79,885

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Solution

The third proportional to 36,595.75 and 79,885 is: 174,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,595.75 : 79,885 = 79,885 : x
  2. Step 2: Convert to fraction form
    36,595.75/79,885 = 79,885/x
  3. Step 3: Cross multiply
    36,595.75x = 79,885 × 79,885
  4. Step 4: Simplify right side
    36,595.75x = 6,381,613,225
  5. Step 5: Solve for x
    x = 6,381,613,225/36,595.75
  6. Step 6: Final answer
    x = 174,381.27

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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.