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Finding the Third Proportional to 3.54 and 5.60

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Solution

The third proportional to 3.54 and 5.60 is: 8.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.54 : 5.60 = 5.60 : x
  2. Step 2: Convert to fraction form
    3.54/5.60 = 5.60/x
  3. Step 3: Cross multiply
    3.54x = 5.60 × 5.60
  4. Step 4: Simplify right side
    3.54x = 31.38
  5. Step 5: Solve for x
    x = 31.38/3.54
  6. Step 6: Final answer
    x = 8.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.