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Finding the Third Proportional to 1,767.75 and 2,739.75

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Solution

The third proportional to 1,767.75 and 2,739.75 is: 4,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.75 : 2,739.75 = 2,739.75 : x
  2. Step 2: Convert to fraction form
    1,767.75/2,739.75 = 2,739.75/x
  3. Step 3: Cross multiply
    1,767.75x = 2,739.75 × 2,739.75
  4. Step 4: Simplify right side
    1,767.75x = 7,506,230.06
  5. Step 5: Solve for x
    x = 7,506,230.06/1,767.75
  6. Step 6: Final answer
    x = 4,246.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.