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Finding the Third Proportional to 36,512.65 and 79,722.98

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Solution

The third proportional to 36,512.65 and 79,722.98 is: 174,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512.65 : 79,722.98 = 79,722.98 : x
  2. Step 2: Convert to fraction form
    36,512.65/79,722.98 = 79,722.98/x
  3. Step 3: Cross multiply
    36,512.65x = 79,722.98 × 79,722.98
  4. Step 4: Simplify right side
    36,512.65x = 6,355,754,237.66
  5. Step 5: Solve for x
    x = 6,355,754,237.66/36,512.65
  6. Step 6: Final answer
    x = 174,069.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.