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Finding the Third Proportional to 27.39 and 59.08

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Solution

The third proportional to 27.39 and 59.08 is: 127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.39 : 59.08 = 59.08 : x
  2. Step 2: Convert to fraction form
    27.39/59.08 = 59.08/x
  3. Step 3: Cross multiply
    27.39x = 59.08 × 59.08
  4. Step 4: Simplify right side
    27.39x = 3,490.84
  5. Step 5: Solve for x
    x = 3,490.84/27.39
  6. Step 6: Final answer
    x = 127.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.