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Finding the Third Proportional to 2.32 and 5.05

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Solution

The third proportional to 2.32 and 5.05 is: 11.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 5.05 = 5.05 : x
  2. Step 2: Convert to fraction form
    2.32/5.05 = 5.05/x
  3. Step 3: Cross multiply
    2.32x = 5.05 × 5.05
  4. Step 4: Simplify right side
    2.32x = 25.52
  5. Step 5: Solve for x
    x = 25.52/2.32
  6. Step 6: Final answer
    x = 11.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.