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Finding the Third Proportional to 2,724.75 and 5,853.75

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Solution

The third proportional to 2,724.75 and 5,853.75 is: 12,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.75 : 5,853.75 = 5,853.75 : x
  2. Step 2: Convert to fraction form
    2,724.75/5,853.75 = 5,853.75/x
  3. Step 3: Cross multiply
    2,724.75x = 5,853.75 × 5,853.75
  4. Step 4: Simplify right side
    2,724.75x = 34,266,389.06
  5. Step 5: Solve for x
    x = 34,266,389.06/2,724.75
  6. Step 6: Final answer
    x = 12,575.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.