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Finding the Third Proportional to 25.96 and 56.49

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Solution

The third proportional to 25.96 and 56.49 is: 122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 56.49 = 56.49 : x
  2. Step 2: Convert to fraction form
    25.96/56.49 = 56.49/x
  3. Step 3: Cross multiply
    25.96x = 56.49 × 56.49
  4. Step 4: Simplify right side
    25.96x = 3,191.31
  5. Step 5: Solve for x
    x = 3,191.31/25.96
  6. Step 6: Final answer
    x = 122.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.