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Finding the Third Proportional to 4,224.66 and 9,976.92

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Solution

The third proportional to 4,224.66 and 9,976.92 is: 23,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.66 : 9,976.92 = 9,976.92 : x
  2. Step 2: Convert to fraction form
    4,224.66/9,976.92 = 9,976.92/x
  3. Step 3: Cross multiply
    4,224.66x = 9,976.92 × 9,976.92
  4. Step 4: Simplify right side
    4,224.66x = 99,538,970.10
  5. Step 5: Solve for x
    x = 99,538,970.10/4,224.66
  6. Step 6: Final answer
    x = 23,561.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.