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Finding the Third Proportional to 4.65 and 6.55

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Solution

The third proportional to 4.65 and 6.55 is: 9.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 6.55 = 6.55 : x
  2. Step 2: Convert to fraction form
    4.65/6.55 = 6.55/x
  3. Step 3: Cross multiply
    4.65x = 6.55 × 6.55
  4. Step 4: Simplify right side
    4.65x = 42.86
  5. Step 5: Solve for x
    x = 42.86/4.65
  6. Step 6: Final answer
    x = 9.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.