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Finding the Third Proportional to 2.32 and 3.40

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Solution

The third proportional to 2.32 and 3.40 is: 4.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 3.40 = 3.40 : x
  2. Step 2: Convert to fraction form
    2.32/3.40 = 3.40/x
  3. Step 3: Cross multiply
    2.32x = 3.40 × 3.40
  4. Step 4: Simplify right side
    2.32x = 11.56
  5. Step 5: Solve for x
    x = 11.56/2.32
  6. Step 6: Final answer
    x = 4.98

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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.