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Finding the Third Proportional to 27.63 and 37.24

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Solution

The third proportional to 27.63 and 37.24 is: 50.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.63 : 37.24 = 37.24 : x
  2. Step 2: Convert to fraction form
    27.63/37.24 = 37.24/x
  3. Step 3: Cross multiply
    27.63x = 37.24 × 37.24
  4. Step 4: Simplify right side
    27.63x = 1,386.97
  5. Step 5: Solve for x
    x = 1,386.97/27.63
  6. Step 6: Final answer
    x = 50.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.