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Finding the Third Proportional to 25.31 and 52.03

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Solution

The third proportional to 25.31 and 52.03 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 52.03 = 52.03 : x
  2. Step 2: Convert to fraction form
    25.31/52.03 = 52.03/x
  3. Step 3: Cross multiply
    25.31x = 52.03 × 52.03
  4. Step 4: Simplify right side
    25.31x = 2,707.25
  5. Step 5: Solve for x
    x = 2,707.25/25.31
  6. Step 6: Final answer
    x = 106.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.