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Finding the Third Proportional to 22,837.13 and 49,813.88

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Solution

The third proportional to 22,837.13 and 49,813.88 is: 108,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.13 : 49,813.88 = 49,813.88 : x
  2. Step 2: Convert to fraction form
    22,837.13/49,813.88 = 49,813.88/x
  3. Step 3: Cross multiply
    22,837.13x = 49,813.88 × 49,813.88
  4. Step 4: Simplify right side
    22,837.13x = 2,481,422,142.52
  5. Step 5: Solve for x
    x = 2,481,422,142.52/22,837.13
  6. Step 6: Final answer
    x = 108,657.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.