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Finding the Third Proportional to 22,599 and 33,761.81

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Solution

The third proportional to 22,599 and 33,761.81 is: 50,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599 : 33,761.81 = 33,761.81 : x
  2. Step 2: Convert to fraction form
    22,599/33,761.81 = 33,761.81/x
  3. Step 3: Cross multiply
    22,599x = 33,761.81 × 33,761.81
  4. Step 4: Simplify right side
    22,599x = 1,139,859,983.29
  5. Step 5: Solve for x
    x = 1,139,859,983.29/22,599
  6. Step 6: Final answer
    x = 50,438.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.