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Finding the Third Proportional to 38,101.50 and 79,686

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Solution

The third proportional to 38,101.50 and 79,686 is: 166,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.50 : 79,686 = 79,686 : x
  2. Step 2: Convert to fraction form
    38,101.50/79,686 = 79,686/x
  3. Step 3: Cross multiply
    38,101.50x = 79,686 × 79,686
  4. Step 4: Simplify right side
    38,101.50x = 6,349,858,596
  5. Step 5: Solve for x
    x = 6,349,858,596/38,101.50
  6. Step 6: Final answer
    x = 166,656.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.