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Finding the Third Proportional to 41 and 52.63

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Solution

The third proportional to 41 and 52.63 is: 67.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41 : 52.63 = 52.63 : x
  2. Step 2: Convert to fraction form
    41/52.63 = 52.63/x
  3. Step 3: Cross multiply
    41x = 52.63 × 52.63
  4. Step 4: Simplify right side
    41x = 2,769.39
  5. Step 5: Solve for x
    x = 2,769.39/41
  6. Step 6: Final answer
    x = 67.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.