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Finding the Third Proportional to 1.53 and 3.69

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Solution

The third proportional to 1.53 and 3.69 is: 8.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.53 : 3.69 = 3.69 : x
  2. Step 2: Convert to fraction form
    1.53/3.69 = 3.69/x
  3. Step 3: Cross multiply
    1.53x = 3.69 × 3.69
  4. Step 4: Simplify right side
    1.53x = 13.61
  5. Step 5: Solve for x
    x = 13.61/1.53
  6. Step 6: Final answer
    x = 8.90

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.