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Finding the Third Proportional to 4.86 and 7.31

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Solution

The third proportional to 4.86 and 7.31 is: 11.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.86 : 7.31 = 7.31 : x
  2. Step 2: Convert to fraction form
    4.86/7.31 = 7.31/x
  3. Step 3: Cross multiply
    4.86x = 7.31 × 7.31
  4. Step 4: Simplify right side
    4.86x = 53.46
  5. Step 5: Solve for x
    x = 53.46/4.86
  6. Step 6: Final answer
    x = 11.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.