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Finding the Third Proportional to 37,852.50 and 79,626

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Solution

The third proportional to 37,852.50 and 79,626 is: 167,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,852.50 : 79,626 = 79,626 : x
  2. Step 2: Convert to fraction form
    37,852.50/79,626 = 79,626/x
  3. Step 3: Cross multiply
    37,852.50x = 79,626 × 79,626
  4. Step 4: Simplify right side
    37,852.50x = 6,340,299,876
  5. Step 5: Solve for x
    x = 6,340,299,876/37,852.50
  6. Step 6: Final answer
    x = 167,500.16

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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.