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Finding the Third Proportional to 5.87 and 12.01

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Solution

The third proportional to 5.87 and 12.01 is: 24.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.87 : 12.01 = 12.01 : x
  2. Step 2: Convert to fraction form
    5.87/12.01 = 12.01/x
  3. Step 3: Cross multiply
    5.87x = 12.01 × 12.01
  4. Step 4: Simplify right side
    5.87x = 144.28
  5. Step 5: Solve for x
    x = 144.28/5.87
  6. Step 6: Final answer
    x = 24.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.