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Finding the Third Proportional to 38,179.13 and 83,855.81

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Solution

The third proportional to 38,179.13 and 83,855.81 is: 184,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,179.13 : 83,855.81 = 83,855.81 : x
  2. Step 2: Convert to fraction form
    38,179.13/83,855.81 = 83,855.81/x
  3. Step 3: Cross multiply
    38,179.13x = 83,855.81 × 83,855.81
  4. Step 4: Simplify right side
    38,179.13x = 7,031,797,290.04
  5. Step 5: Solve for x
    x = 7,031,797,290.04/38,179.13
  6. Step 6: Final answer
    x = 184,179.11

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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.