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Finding the Third Proportional to 37,866.44 and 79,650.19

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Solution

The third proportional to 37,866.44 and 79,650.19 is: 167,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.44 : 79,650.19 = 79,650.19 : x
  2. Step 2: Convert to fraction form
    37,866.44/79,650.19 = 79,650.19/x
  3. Step 3: Cross multiply
    37,866.44x = 79,650.19 × 79,650.19
  4. Step 4: Simplify right side
    37,866.44x = 6,344,152,368.79
  5. Step 5: Solve for x
    x = 6,344,152,368.79/37,866.44
  6. Step 6: Final answer
    x = 167,540.25

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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.