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Finding the Third Proportional to 22,574 and 33,731

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Solution

The third proportional to 22,574 and 33,731 is: 50,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574 : 33,731 = 33,731 : x
  2. Step 2: Convert to fraction form
    22,574/33,731 = 33,731/x
  3. Step 3: Cross multiply
    22,574x = 33,731 × 33,731
  4. Step 4: Simplify right side
    22,574x = 1,137,780,361
  5. Step 5: Solve for x
    x = 1,137,780,361/22,574
  6. Step 6: Final answer
    x = 50,402.25

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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.