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Finding the Third Proportional to 37,866.75 and 79,650.75

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Solution

The third proportional to 37,866.75 and 79,650.75 is: 167,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.75 : 79,650.75 = 79,650.75 : x
  2. Step 2: Convert to fraction form
    37,866.75/79,650.75 = 79,650.75/x
  3. Step 3: Cross multiply
    37,866.75x = 79,650.75 × 79,650.75
  4. Step 4: Simplify right side
    37,866.75x = 6,344,241,975.56
  5. Step 5: Solve for x
    x = 6,344,241,975.56/37,866.75
  6. Step 6: Final answer
    x = 167,541.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.