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Finding the Third Proportional to 25.19 and 33.50

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Solution

The third proportional to 25.19 and 33.50 is: 44.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.19 : 33.50 = 33.50 : x
  2. Step 2: Convert to fraction form
    25.19/33.50 = 33.50/x
  3. Step 3: Cross multiply
    25.19x = 33.50 × 33.50
  4. Step 4: Simplify right side
    25.19x = 1,122.25
  5. Step 5: Solve for x
    x = 1,122.25/25.19
  6. Step 6: Final answer
    x = 44.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.