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Finding the Third Proportional to 0.45 and 0.96

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Solution

The third proportional to 0.45 and 0.96 is: 2.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.45 : 0.96 = 0.96 : x
  2. Step 2: Convert to fraction form
    0.45/0.96 = 0.96/x
  3. Step 3: Cross multiply
    0.45x = 0.96 × 0.96
  4. Step 4: Simplify right side
    0.45x = 0.92
  5. Step 5: Solve for x
    x = 0.92/0.45
  6. Step 6: Final answer
    x = 2.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.