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Finding the Third Proportional to 36,847.41 and 78,952.22

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Solution

The third proportional to 36,847.41 and 78,952.22 is: 169,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,847.41 : 78,952.22 = 78,952.22 : x
  2. Step 2: Convert to fraction form
    36,847.41/78,952.22 = 78,952.22/x
  3. Step 3: Cross multiply
    36,847.41x = 78,952.22 × 78,952.22
  4. Step 4: Simplify right side
    36,847.41x = 6,233,452,845.55
  5. Step 5: Solve for x
    x = 6,233,452,845.55/36,847.41
  6. Step 6: Final answer
    x = 169,169.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.