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Finding the Third Proportional to 36,474.68 and 79,869.16

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Solution

The third proportional to 36,474.68 and 79,869.16 is: 174,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474.68 : 79,869.16 = 79,869.16 : x
  2. Step 2: Convert to fraction form
    36,474.68/79,869.16 = 79,869.16/x
  3. Step 3: Cross multiply
    36,474.68x = 79,869.16 × 79,869.16
  4. Step 4: Simplify right side
    36,474.68x = 6,379,083,368.04
  5. Step 5: Solve for x
    x = 6,379,083,368.04/36,474.68
  6. Step 6: Final answer
    x = 174,890.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.