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Finding the Third Proportional to 2,751.75 and 4,127.91

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Solution

The third proportional to 2,751.75 and 4,127.91 is: 6,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.75 : 4,127.91 = 4,127.91 : x
  2. Step 2: Convert to fraction form
    2,751.75/4,127.91 = 4,127.91/x
  3. Step 3: Cross multiply
    2,751.75x = 4,127.91 × 4,127.91
  4. Step 4: Simplify right side
    2,751.75x = 17,039,610.01
  5. Step 5: Solve for x
    x = 17,039,610.01/2,751.75
  6. Step 6: Final answer
    x = 6,192.28

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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.