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Finding the Third Proportional to 5,266.75 and 11,523.25

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Solution

The third proportional to 5,266.75 and 11,523.25 is: 25,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.75 : 11,523.25 = 11,523.25 : x
  2. Step 2: Convert to fraction form
    5,266.75/11,523.25 = 11,523.25/x
  3. Step 3: Cross multiply
    5,266.75x = 11,523.25 × 11,523.25
  4. Step 4: Simplify right side
    5,266.75x = 132,785,290.56
  5. Step 5: Solve for x
    x = 132,785,290.56/5,266.75
  6. Step 6: Final answer
    x = 25,212.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.