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Finding the Third Proportional to 36,969.75 and 80,167.50

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Solution

The third proportional to 36,969.75 and 80,167.50 is: 173,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969.75 : 80,167.50 = 80,167.50 : x
  2. Step 2: Convert to fraction form
    36,969.75/80,167.50 = 80,167.50/x
  3. Step 3: Cross multiply
    36,969.75x = 80,167.50 × 80,167.50
  4. Step 4: Simplify right side
    36,969.75x = 6,426,828,056.25
  5. Step 5: Solve for x
    x = 6,426,828,056.25/36,969.75
  6. Step 6: Final answer
    x = 173,840.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.