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Finding the Third Proportional to 9,826.75 and 15,227.75

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Solution

The third proportional to 9,826.75 and 15,227.75 is: 23,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.75 : 15,227.75 = 15,227.75 : x
  2. Step 2: Convert to fraction form
    9,826.75/15,227.75 = 15,227.75/x
  3. Step 3: Cross multiply
    9,826.75x = 15,227.75 × 15,227.75
  4. Step 4: Simplify right side
    9,826.75x = 231,884,370.06
  5. Step 5: Solve for x
    x = 231,884,370.06/9,826.75
  6. Step 6: Final answer
    x = 23,597.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.