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Finding the Third Proportional to 27.84 and 48.09

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Solution

The third proportional to 27.84 and 48.09 is: 83.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 48.09 = 48.09 : x
  2. Step 2: Convert to fraction form
    27.84/48.09 = 48.09/x
  3. Step 3: Cross multiply
    27.84x = 48.09 × 48.09
  4. Step 4: Simplify right side
    27.84x = 2,313.01
  5. Step 5: Solve for x
    x = 2,313.01/27.84
  6. Step 6: Final answer
    x = 83.07

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.