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Finding the Third Proportional to 27.84 and 41.63

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Solution

The third proportional to 27.84 and 41.63 is: 62.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.63 = 41.63 : x
  2. Step 2: Convert to fraction form
    27.84/41.63 = 41.63/x
  3. Step 3: Cross multiply
    27.84x = 41.63 × 41.63
  4. Step 4: Simplify right side
    27.84x = 1,732.64
  5. Step 5: Solve for x
    x = 1,732.64/27.84
  6. Step 6: Final answer
    x = 62.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.