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Finding the Third Proportional to 9.56 and 24.56

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Solution

The third proportional to 9.56 and 24.56 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 24.56 = 24.56 : x
  2. Step 2: Convert to fraction form
    9.56/24.56 = 24.56/x
  3. Step 3: Cross multiply
    9.56x = 24.56 × 24.56
  4. Step 4: Simplify right side
    9.56x = 603.32
  5. Step 5: Solve for x
    x = 603.32/9.56
  6. Step 6: Final answer
    x = 63.09

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.