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Finding the Third Proportional to 11.59 and 17.46

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Solution

The third proportional to 11.59 and 17.46 is: 26.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.59 : 17.46 = 17.46 : x
  2. Step 2: Convert to fraction form
    11.59/17.46 = 17.46/x
  3. Step 3: Cross multiply
    11.59x = 17.46 × 17.46
  4. Step 4: Simplify right side
    11.59x = 304.71
  5. Step 5: Solve for x
    x = 304.71/11.59
  6. Step 6: Final answer
    x = 26.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.