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Finding the Third Proportional to 27.84 and 66.66

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Solution

The third proportional to 27.84 and 66.66 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 66.66 = 66.66 : x
  2. Step 2: Convert to fraction form
    27.84/66.66 = 66.66/x
  3. Step 3: Cross multiply
    27.84x = 66.66 × 66.66
  4. Step 4: Simplify right side
    27.84x = 4,443.06
  5. Step 5: Solve for x
    x = 4,443.06/27.84
  6. Step 6: Final answer
    x = 159.57

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.