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Finding the Third Proportional to 25.13 and 41.63

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Solution

The third proportional to 25.13 and 41.63 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.13 : 41.63 = 41.63 : x
  2. Step 2: Convert to fraction form
    25.13/41.63 = 41.63/x
  3. Step 3: Cross multiply
    25.13x = 41.63 × 41.63
  4. Step 4: Simplify right side
    25.13x = 1,732.64
  5. Step 5: Solve for x
    x = 1,732.64/25.13
  6. Step 6: Final answer
    x = 68.96

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.