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Finding the Third Proportional to 22,348.50 and 49,125

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Solution

The third proportional to 22,348.50 and 49,125 is: 107,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348.50 : 49,125 = 49,125 : x
  2. Step 2: Convert to fraction form
    22,348.50/49,125 = 49,125/x
  3. Step 3: Cross multiply
    22,348.50x = 49,125 × 49,125
  4. Step 4: Simplify right side
    22,348.50x = 2,413,265,625
  5. Step 5: Solve for x
    x = 2,413,265,625/22,348.50
  6. Step 6: Final answer
    x = 107,983.34

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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.