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Finding the Third Proportional to 27.23 and 57.93

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Solution

The third proportional to 27.23 and 57.93 is: 123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.23 : 57.93 = 57.93 : x
  2. Step 2: Convert to fraction form
    27.23/57.93 = 57.93/x
  3. Step 3: Cross multiply
    27.23x = 57.93 × 57.93
  4. Step 4: Simplify right side
    27.23x = 3,356.12
  5. Step 5: Solve for x
    x = 3,356.12/27.23
  6. Step 6: Final answer
    x = 123.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.