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Finding the Third Proportional to 36,811.65 and 79,517.95

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Solution

The third proportional to 36,811.65 and 79,517.95 is: 171,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,811.65 : 79,517.95 = 79,517.95 : x
  2. Step 2: Convert to fraction form
    36,811.65/79,517.95 = 79,517.95/x
  3. Step 3: Cross multiply
    36,811.65x = 79,517.95 × 79,517.95
  4. Step 4: Simplify right side
    36,811.65x = 6,323,104,869.19
  5. Step 5: Solve for x
    x = 6,323,104,869.19/36,811.65
  6. Step 6: Final answer
    x = 171,769.11

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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.