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Finding the Third Proportional to 35,979.75 and 53,974.13

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Solution

The third proportional to 35,979.75 and 53,974.13 is: 80,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,979.75 : 53,974.13 = 53,974.13 : x
  2. Step 2: Convert to fraction form
    35,979.75/53,974.13 = 53,974.13/x
  3. Step 3: Cross multiply
    35,979.75x = 53,974.13 × 53,974.13
  4. Step 4: Simplify right side
    35,979.75x = 2,913,206,169.52
  5. Step 5: Solve for x
    x = 2,913,206,169.52/35,979.75
  6. Step 6: Final answer
    x = 80,967.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.