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Finding the Third Proportional to 17.50 and 25.81

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Solution

The third proportional to 17.50 and 25.81 is: 38.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.50 : 25.81 = 25.81 : x
  2. Step 2: Convert to fraction form
    17.50/25.81 = 25.81/x
  3. Step 3: Cross multiply
    17.50x = 25.81 × 25.81
  4. Step 4: Simplify right side
    17.50x = 666.29
  5. Step 5: Solve for x
    x = 666.29/17.50
  6. Step 6: Final answer
    x = 38.07

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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.