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Finding the Third Proportional to 4.64 and 7.38

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Solution

The third proportional to 4.64 and 7.38 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.64 : 7.38 = 7.38 : x
  2. Step 2: Convert to fraction form
    4.64/7.38 = 7.38/x
  3. Step 3: Cross multiply
    4.64x = 7.38 × 7.38
  4. Step 4: Simplify right side
    4.64x = 54.51
  5. Step 5: Solve for x
    x = 54.51/4.64
  6. Step 6: Final answer
    x = 11.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.