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Finding the Third Proportional to 4.08 and 6.52

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Solution

The third proportional to 4.08 and 6.52 is: 10.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.08 : 6.52 = 6.52 : x
  2. Step 2: Convert to fraction form
    4.08/6.52 = 6.52/x
  3. Step 3: Cross multiply
    4.08x = 6.52 × 6.52
  4. Step 4: Simplify right side
    4.08x = 42.45
  5. Step 5: Solve for x
    x = 42.45/4.08
  6. Step 6: Final answer
    x = 10.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.