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Finding the Third Proportional to 2.85 and 25.63

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Solution

The third proportional to 2.85 and 25.63 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.85 : 25.63 = 25.63 : x
  2. Step 2: Convert to fraction form
    2.85/25.63 = 25.63/x
  3. Step 3: Cross multiply
    2.85x = 25.63 × 25.63
  4. Step 4: Simplify right side
    2.85x = 656.84
  5. Step 5: Solve for x
    x = 656.84/2.85
  6. Step 6: Final answer
    x = 230.66

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Why These Related Problems?

These problems maintain the same ratio (9) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.