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Finding the Third Proportional to 2,187.28 and 3,187.27

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Solution

The third proportional to 2,187.28 and 3,187.27 is: 4,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.28 : 3,187.27 = 3,187.27 : x
  2. Step 2: Convert to fraction form
    2,187.28/3,187.27 = 3,187.27/x
  3. Step 3: Cross multiply
    2,187.28x = 3,187.27 × 3,187.27
  4. Step 4: Simplify right side
    2,187.28x = 10,158,662.16
  5. Step 5: Solve for x
    x = 10,158,662.16/2,187.28
  6. Step 6: Final answer
    x = 4,644.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.