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Finding the Third Proportional to 4,224.66 and 9,792.14

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Solution

The third proportional to 4,224.66 and 9,792.14 is: 22,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.66 : 9,792.14 = 9,792.14 : x
  2. Step 2: Convert to fraction form
    4,224.66/9,792.14 = 9,792.14/x
  3. Step 3: Cross multiply
    4,224.66x = 9,792.14 × 9,792.14
  4. Step 4: Simplify right side
    4,224.66x = 95,886,018.02
  5. Step 5: Solve for x
    x = 95,886,018.02/4,224.66
  6. Step 6: Final answer
    x = 22,696.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.