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Finding the Third Proportional to 1.53 and 2.24

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Solution

The third proportional to 1.53 and 2.24 is: 3.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.53 : 2.24 = 2.24 : x
  2. Step 2: Convert to fraction form
    1.53/2.24 = 2.24/x
  3. Step 3: Cross multiply
    1.53x = 2.24 × 2.24
  4. Step 4: Simplify right side
    1.53x = 5.02
  5. Step 5: Solve for x
    x = 5.02/1.53
  6. Step 6: Final answer
    x = 3.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.