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Finding the Third Proportional to 6.56 and 9.84

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Solution

The third proportional to 6.56 and 9.84 is: 14.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.56 : 9.84 = 9.84 : x
  2. Step 2: Convert to fraction form
    6.56/9.84 = 9.84/x
  3. Step 3: Cross multiply
    6.56x = 9.84 × 9.84
  4. Step 4: Simplify right side
    6.56x = 96.90
  5. Step 5: Solve for x
    x = 96.90/6.56
  6. Step 6: Final answer
    x = 14.77

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Why These Related Problems?

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