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Finding the Third Proportional to 1,262.25 and 2,724.05

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Solution

The third proportional to 1,262.25 and 2,724.05 is: 5,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.25 : 2,724.05 = 2,724.05 : x
  2. Step 2: Convert to fraction form
    1,262.25/2,724.05 = 2,724.05/x
  3. Step 3: Cross multiply
    1,262.25x = 2,724.05 × 2,724.05
  4. Step 4: Simplify right side
    1,262.25x = 7,420,431.38
  5. Step 5: Solve for x
    x = 7,420,431.38/1,262.25
  6. Step 6: Final answer
    x = 5,878.73

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Why These Related Problems?

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