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Finding the Third Proportional to 8,894.81 and 19,579.22

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Solution

The third proportional to 8,894.81 and 19,579.22 is: 43,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.81 : 19,579.22 = 19,579.22 : x
  2. Step 2: Convert to fraction form
    8,894.81/19,579.22 = 19,579.22/x
  3. Step 3: Cross multiply
    8,894.81x = 19,579.22 × 19,579.22
  4. Step 4: Simplify right side
    8,894.81x = 383,345,806.86
  5. Step 5: Solve for x
    x = 383,345,806.86/8,894.81
  6. Step 6: Final answer
    x = 43,097.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.