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Finding the Third Proportional to 25.41 and 52.36

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Solution

The third proportional to 25.41 and 52.36 is: 107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.41 : 52.36 = 52.36 : x
  2. Step 2: Convert to fraction form
    25.41/52.36 = 52.36/x
  3. Step 3: Cross multiply
    25.41x = 52.36 × 52.36
  4. Step 4: Simplify right side
    25.41x = 2,741.50
  5. Step 5: Solve for x
    x = 2,741.50/25.41
  6. Step 6: Final answer
    x = 107.91

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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.