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Finding the Third Proportional to 36,243.75 and 77,851.88

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Solution

The third proportional to 36,243.75 and 77,851.88 is: 167,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,243.75 : 77,851.88 = 77,851.88 : x
  2. Step 2: Convert to fraction form
    36,243.75/77,851.88 = 77,851.88/x
  3. Step 3: Cross multiply
    36,243.75x = 77,851.88 × 77,851.88
  4. Step 4: Simplify right side
    36,243.75x = 6,060,914,441.02
  5. Step 5: Solve for x
    x = 6,060,914,441.02/36,243.75
  6. Step 6: Final answer
    x = 167,226.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.