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Finding the Third Proportional to 3,429.75 and 3,727.75

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Solution

The third proportional to 3,429.75 and 3,727.75 is: 4,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.75 : 3,727.75 = 3,727.75 : x
  2. Step 2: Convert to fraction form
    3,429.75/3,727.75 = 3,727.75/x
  3. Step 3: Cross multiply
    3,429.75x = 3,727.75 × 3,727.75
  4. Step 4: Simplify right side
    3,429.75x = 13,896,120.06
  5. Step 5: Solve for x
    x = 13,896,120.06/3,429.75
  6. Step 6: Final answer
    x = 4,051.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.