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Finding the Third Proportional to 35,727.75 and 54,847.13

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Solution

The third proportional to 35,727.75 and 54,847.13 is: 84,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.75 : 54,847.13 = 54,847.13 : x
  2. Step 2: Convert to fraction form
    35,727.75/54,847.13 = 54,847.13/x
  3. Step 3: Cross multiply
    35,727.75x = 54,847.13 × 54,847.13
  4. Step 4: Simplify right side
    35,727.75x = 3,008,207,120.77
  5. Step 5: Solve for x
    x = 3,008,207,120.77/35,727.75
  6. Step 6: Final answer
    x = 84,198.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.