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Finding the Third Proportional to 27.84 and 50.94

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Solution

The third proportional to 27.84 and 50.94 is: 93.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 50.94 = 50.94 : x
  2. Step 2: Convert to fraction form
    27.84/50.94 = 50.94/x
  3. Step 3: Cross multiply
    27.84x = 50.94 × 50.94
  4. Step 4: Simplify right side
    27.84x = 2,595.03
  5. Step 5: Solve for x
    x = 2,595.03/27.84
  6. Step 6: Final answer
    x = 93.20

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.