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Finding the Third Proportional to 9.66 and 24.77

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Solution

The third proportional to 9.66 and 24.77 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 24.77 = 24.77 : x
  2. Step 2: Convert to fraction form
    9.66/24.77 = 24.77/x
  3. Step 3: Cross multiply
    9.66x = 24.77 × 24.77
  4. Step 4: Simplify right side
    9.66x = 613.38
  5. Step 5: Solve for x
    x = 613.38/9.66
  6. Step 6: Final answer
    x = 63.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.