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Finding the Third Proportional to 17.83 and 25.34

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Solution

The third proportional to 17.83 and 25.34 is: 36.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.83 : 25.34 = 25.34 : x
  2. Step 2: Convert to fraction form
    17.83/25.34 = 25.34/x
  3. Step 3: Cross multiply
    17.83x = 25.34 × 25.34
  4. Step 4: Simplify right side
    17.83x = 641.95
  5. Step 5: Solve for x
    x = 641.95/17.83
  6. Step 6: Final answer
    x = 36.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.