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Finding the Third Proportional to 8,823.09 and 19,395.38

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Solution

The third proportional to 8,823.09 and 19,395.38 is: 42,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.09 : 19,395.38 = 19,395.38 : x
  2. Step 2: Convert to fraction form
    8,823.09/19,395.38 = 19,395.38/x
  3. Step 3: Cross multiply
    8,823.09x = 19,395.38 × 19,395.38
  4. Step 4: Simplify right side
    8,823.09x = 376,180,571.39
  5. Step 5: Solve for x
    x = 376,180,571.39/8,823.09
  6. Step 6: Final answer
    x = 42,635.90

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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.