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Finding the Third Proportional to 4.56 and 9.31

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Solution

The third proportional to 4.56 and 9.31 is: 19.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 9.31 = 9.31 : x
  2. Step 2: Convert to fraction form
    4.56/9.31 = 9.31/x
  3. Step 3: Cross multiply
    4.56x = 9.31 × 9.31
  4. Step 4: Simplify right side
    4.56x = 86.73
  5. Step 5: Solve for x
    x = 86.73/4.56
  6. Step 6: Final answer
    x = 19.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.