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Finding the Third Proportional to 35,842.50 and 80,934.19

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Solution

The third proportional to 35,842.50 and 80,934.19 is: 182,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.50 : 80,934.19 = 80,934.19 : x
  2. Step 2: Convert to fraction form
    35,842.50/80,934.19 = 80,934.19/x
  3. Step 3: Cross multiply
    35,842.50x = 80,934.19 × 80,934.19
  4. Step 4: Simplify right side
    35,842.50x = 6,550,342,706.29
  5. Step 5: Solve for x
    x = 6,550,342,706.29/35,842.50
  6. Step 6: Final answer
    x = 182,753.51

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.