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Finding the Third Proportional to 10.27 and 22.57

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Solution

The third proportional to 10.27 and 22.57 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.27 : 22.57 = 22.57 : x
  2. Step 2: Convert to fraction form
    10.27/22.57 = 22.57/x
  3. Step 3: Cross multiply
    10.27x = 22.57 × 22.57
  4. Step 4: Simplify right side
    10.27x = 509.38
  5. Step 5: Solve for x
    x = 509.38/10.27
  6. Step 6: Final answer
    x = 49.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.