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Finding the Third Proportional to 9,430.75 and 10,227.25

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Solution

The third proportional to 9,430.75 and 10,227.25 is: 11,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.75 : 10,227.25 = 10,227.25 : x
  2. Step 2: Convert to fraction form
    9,430.75/10,227.25 = 10,227.25/x
  3. Step 3: Cross multiply
    9,430.75x = 10,227.25 × 10,227.25
  4. Step 4: Simplify right side
    9,430.75x = 104,596,642.56
  5. Step 5: Solve for x
    x = 104,596,642.56/9,430.75
  6. Step 6: Final answer
    x = 11,091.02

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.