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Finding the Third Proportional to 11.53 and 16.88

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Solution

The third proportional to 11.53 and 16.88 is: 24.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.53 : 16.88 = 16.88 : x
  2. Step 2: Convert to fraction form
    11.53/16.88 = 16.88/x
  3. Step 3: Cross multiply
    11.53x = 16.88 × 16.88
  4. Step 4: Simplify right side
    11.53x = 284.77
  5. Step 5: Solve for x
    x = 284.77/11.53
  6. Step 6: Final answer
    x = 24.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.