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Finding the Third Proportional to 2,727.28 and 5,872.08

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Solution

The third proportional to 2,727.28 and 5,872.08 is: 12,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.28 : 5,872.08 = 5,872.08 : x
  2. Step 2: Convert to fraction form
    2,727.28/5,872.08 = 5,872.08/x
  3. Step 3: Cross multiply
    2,727.28x = 5,872.08 × 5,872.08
  4. Step 4: Simplify right side
    2,727.28x = 34,481,301.51
  5. Step 5: Solve for x
    x = 34,481,301.51/2,727.28
  6. Step 6: Final answer
    x = 12,643.10

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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.