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Finding the Third Proportional to 0.74 and 2.00

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Solution

The third proportional to 0.74 and 2.00 is: 5.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.74 : 2.00 = 2.00 : x
  2. Step 2: Convert to fraction form
    0.74/2.00 = 2.00/x
  3. Step 3: Cross multiply
    0.74x = 2.00 × 2.00
  4. Step 4: Simplify right side
    0.74x = 3.98
  5. Step 5: Solve for x
    x = 3.98/0.74
  6. Step 6: Final answer
    x = 5.39

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.