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Finding the Third Proportional to 11,549.25 and 26,946

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Solution

The third proportional to 11,549.25 and 26,946 is: 62,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.25 : 26,946 = 26,946 : x
  2. Step 2: Convert to fraction form
    11,549.25/26,946 = 26,946/x
  3. Step 3: Cross multiply
    11,549.25x = 26,946 × 26,946
  4. Step 4: Simplify right side
    11,549.25x = 726,086,916
  5. Step 5: Solve for x
    x = 726,086,916/11,549.25
  6. Step 6: Final answer
    x = 62,868.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.