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Finding the Third Proportional to 25.30 and 50.84

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Solution

The third proportional to 25.30 and 50.84 is: 102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.30 : 50.84 = 50.84 : x
  2. Step 2: Convert to fraction form
    25.30/50.84 = 50.84/x
  3. Step 3: Cross multiply
    25.30x = 50.84 × 50.84
  4. Step 4: Simplify right side
    25.30x = 2,585.09
  5. Step 5: Solve for x
    x = 2,585.09/25.30
  6. Step 6: Final answer
    x = 102.19

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.