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Finding the Third Proportional to 1,261.88 and 2,721.75

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Solution

The third proportional to 1,261.88 and 2,721.75 is: 5,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.88 : 2,721.75 = 2,721.75 : x
  2. Step 2: Convert to fraction form
    1,261.88/2,721.75 = 2,721.75/x
  3. Step 3: Cross multiply
    1,261.88x = 2,721.75 × 2,721.75
  4. Step 4: Simplify right side
    1,261.88x = 7,407,923.06
  5. Step 5: Solve for x
    x = 7,407,923.06/1,261.88
  6. Step 6: Final answer
    x = 5,870.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.