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Finding the Third Proportional to 9,224.44 and 19,792.69

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Solution

The third proportional to 9,224.44 and 19,792.69 is: 42,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.44 : 19,792.69 = 19,792.69 : x
  2. Step 2: Convert to fraction form
    9,224.44/19,792.69 = 19,792.69/x
  3. Step 3: Cross multiply
    9,224.44x = 19,792.69 × 19,792.69
  4. Step 4: Simplify right side
    9,224.44x = 391,750,478.47
  5. Step 5: Solve for x
    x = 391,750,478.47/9,224.44
  6. Step 6: Final answer
    x = 42,468.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.