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Finding the Third Proportional to 2.03 and 5.58

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Solution

The third proportional to 2.03 and 5.58 is: 15.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 5.58 = 5.58 : x
  2. Step 2: Convert to fraction form
    2.03/5.58 = 5.58/x
  3. Step 3: Cross multiply
    2.03x = 5.58 × 5.58
  4. Step 4: Simplify right side
    2.03x = 31.08
  5. Step 5: Solve for x
    x = 31.08/2.03
  6. Step 6: Final answer
    x = 15.33

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.