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Finding the Third Proportional to 13.56 and 29.63

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Solution

The third proportional to 13.56 and 29.63 is: 64.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.56 : 29.63 = 29.63 : x
  2. Step 2: Convert to fraction form
    13.56/29.63 = 29.63/x
  3. Step 3: Cross multiply
    13.56x = 29.63 × 29.63
  4. Step 4: Simplify right side
    13.56x = 877.64
  5. Step 5: Solve for x
    x = 877.64/13.56
  6. Step 6: Final answer
    x = 64.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.