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Finding the Third Proportional to 25.56 and 34.06

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Solution

The third proportional to 25.56 and 34.06 is: 45.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.56 : 34.06 = 34.06 : x
  2. Step 2: Convert to fraction form
    25.56/34.06 = 34.06/x
  3. Step 3: Cross multiply
    25.56x = 34.06 × 34.06
  4. Step 4: Simplify right side
    25.56x = 1,160.25
  5. Step 5: Solve for x
    x = 1,160.25/25.56
  6. Step 6: Final answer
    x = 45.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.