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Finding the Third Proportional to 7,731.75 and 10,922.25

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Solution

The third proportional to 7,731.75 and 10,922.25 is: 15,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.75 : 10,922.25 = 10,922.25 : x
  2. Step 2: Convert to fraction form
    7,731.75/10,922.25 = 10,922.25/x
  3. Step 3: Cross multiply
    7,731.75x = 10,922.25 × 10,922.25
  4. Step 4: Simplify right side
    7,731.75x = 119,295,545.06
  5. Step 5: Solve for x
    x = 119,295,545.06/7,731.75
  6. Step 6: Final answer
    x = 15,429.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.