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Finding the Third Proportional to 4.97 and 7.64

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Solution

The third proportional to 4.97 and 7.64 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.97 : 7.64 = 7.64 : x
  2. Step 2: Convert to fraction form
    4.97/7.64 = 7.64/x
  3. Step 3: Cross multiply
    4.97x = 7.64 × 7.64
  4. Step 4: Simplify right side
    4.97x = 58.38
  5. Step 5: Solve for x
    x = 58.38/4.97
  6. Step 6: Final answer
    x = 11.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.