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Finding the Third Proportional to 4.78 and 7.29

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Solution

The third proportional to 4.78 and 7.29 is: 11.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.78 : 7.29 = 7.29 : x
  2. Step 2: Convert to fraction form
    4.78/7.29 = 7.29/x
  3. Step 3: Cross multiply
    4.78x = 7.29 × 7.29
  4. Step 4: Simplify right side
    4.78x = 53.16
  5. Step 5: Solve for x
    x = 53.16/4.78
  6. Step 6: Final answer
    x = 11.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.