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Finding the Third Proportional to 22,099.50 and 30,721.50

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Solution

The third proportional to 22,099.50 and 30,721.50 is: 42,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.50 : 30,721.50 = 30,721.50 : x
  2. Step 2: Convert to fraction form
    22,099.50/30,721.50 = 30,721.50/x
  3. Step 3: Cross multiply
    22,099.50x = 30,721.50 × 30,721.50
  4. Step 4: Simplify right side
    22,099.50x = 943,810,562.25
  5. Step 5: Solve for x
    x = 943,810,562.25/22,099.50
  6. Step 6: Final answer
    x = 42,707.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.