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Finding the Third Proportional to 22,855 and 49,810.50

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Solution

The third proportional to 22,855 and 49,810.50 is: 108,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855 : 49,810.50 = 49,810.50 : x
  2. Step 2: Convert to fraction form
    22,855/49,810.50 = 49,810.50/x
  3. Step 3: Cross multiply
    22,855x = 49,810.50 × 49,810.50
  4. Step 4: Simplify right side
    22,855x = 2,481,085,910.25
  5. Step 5: Solve for x
    x = 2,481,085,910.25/22,855
  6. Step 6: Final answer
    x = 108,557.69

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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.