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Finding the Third Proportional to 2.32 and 2.53

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Solution

The third proportional to 2.32 and 2.53 is: 2.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 2.53 = 2.53 : x
  2. Step 2: Convert to fraction form
    2.32/2.53 = 2.53/x
  3. Step 3: Cross multiply
    2.32x = 2.53 × 2.53
  4. Step 4: Simplify right side
    2.32x = 6.41
  5. Step 5: Solve for x
    x = 6.41/2.32
  6. Step 6: Final answer
    x = 2.76

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.