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Finding the Third Proportional to 36,208.27 and 78,850.13

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Solution

The third proportional to 36,208.27 and 78,850.13 is: 171,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,208.27 : 78,850.13 = 78,850.13 : x
  2. Step 2: Convert to fraction form
    36,208.27/78,850.13 = 78,850.13/x
  3. Step 3: Cross multiply
    36,208.27x = 78,850.13 × 78,850.13
  4. Step 4: Simplify right side
    36,208.27x = 6,217,342,212.52
  5. Step 5: Solve for x
    x = 6,217,342,212.52/36,208.27
  6. Step 6: Final answer
    x = 171,710.58

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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.