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Finding the Third Proportional to 13.41 and 26.25

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Solution

The third proportional to 13.41 and 26.25 is: 51.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.41 : 26.25 = 26.25 : x
  2. Step 2: Convert to fraction form
    13.41/26.25 = 26.25/x
  3. Step 3: Cross multiply
    13.41x = 26.25 × 26.25
  4. Step 4: Simplify right side
    13.41x = 689.06
  5. Step 5: Solve for x
    x = 689.06/13.41
  6. Step 6: Final answer
    x = 51.40

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.