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Finding the Third Proportional to 9,825.75 and 10,743.75

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Solution

The third proportional to 9,825.75 and 10,743.75 is: 11,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.75 : 10,743.75 = 10,743.75 : x
  2. Step 2: Convert to fraction form
    9,825.75/10,743.75 = 10,743.75/x
  3. Step 3: Cross multiply
    9,825.75x = 10,743.75 × 10,743.75
  4. Step 4: Simplify right side
    9,825.75x = 115,428,164.06
  5. Step 5: Solve for x
    x = 115,428,164.06/9,825.75
  6. Step 6: Final answer
    x = 11,747.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.