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Finding the Third Proportional to 2.34 and 4.00

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Solution

The third proportional to 2.34 and 4.00 is: 6.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.34 : 4.00 = 4.00 : x
  2. Step 2: Convert to fraction form
    2.34/4.00 = 4.00/x
  3. Step 3: Cross multiply
    2.34x = 4.00 × 4.00
  4. Step 4: Simplify right side
    2.34x = 15.97
  5. Step 5: Solve for x
    x = 15.97/2.34
  6. Step 6: Final answer
    x = 6.82

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.