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Finding the Third Proportional to 17.63 and 26.06

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Solution

The third proportional to 17.63 and 26.06 is: 38.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.63 : 26.06 = 26.06 : x
  2. Step 2: Convert to fraction form
    17.63/26.06 = 26.06/x
  3. Step 3: Cross multiply
    17.63x = 26.06 × 26.06
  4. Step 4: Simplify right side
    17.63x = 679.25
  5. Step 5: Solve for x
    x = 679.25/17.63
  6. Step 6: Final answer
    x = 38.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.