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Finding the Third Proportional to 13.49 and 25.02

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Solution

The third proportional to 13.49 and 25.02 is: 46.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.49 : 25.02 = 25.02 : x
  2. Step 2: Convert to fraction form
    13.49/25.02 = 25.02/x
  3. Step 3: Cross multiply
    13.49x = 25.02 × 25.02
  4. Step 4: Simplify right side
    13.49x = 626.20
  5. Step 5: Solve for x
    x = 626.20/13.49
  6. Step 6: Final answer
    x = 46.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.