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Finding the Third Proportional to 36,717.75 and 79,267.50

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Solution

The third proportional to 36,717.75 and 79,267.50 is: 171,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,717.75 : 79,267.50 = 79,267.50 : x
  2. Step 2: Convert to fraction form
    36,717.75/79,267.50 = 79,267.50/x
  3. Step 3: Cross multiply
    36,717.75x = 79,267.50 × 79,267.50
  4. Step 4: Simplify right side
    36,717.75x = 6,283,336,556.25
  5. Step 5: Solve for x
    x = 6,283,336,556.25/36,717.75
  6. Step 6: Final answer
    x = 171,125.32

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