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Finding the Third Proportional to 2.29 and 3.40

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Solution

The third proportional to 2.29 and 3.40 is: 5.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 3.40 = 3.40 : x
  2. Step 2: Convert to fraction form
    2.29/3.40 = 3.40/x
  3. Step 3: Cross multiply
    2.29x = 3.40 × 3.40
  4. Step 4: Simplify right side
    2.29x = 11.59
  5. Step 5: Solve for x
    x = 11.59/2.29
  6. Step 6: Final answer
    x = 5.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.