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Finding the Third Proportional to 6,911.25 and 10,424.16

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Solution

The third proportional to 6,911.25 and 10,424.16 is: 15,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.25 : 10,424.16 = 10,424.16 : x
  2. Step 2: Convert to fraction form
    6,911.25/10,424.16 = 10,424.16/x
  3. Step 3: Cross multiply
    6,911.25x = 10,424.16 × 10,424.16
  4. Step 4: Simplify right side
    6,911.25x = 108,663,033.52
  5. Step 5: Solve for x
    x = 108,663,033.52/6,911.25
  6. Step 6: Final answer
    x = 15,722.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.