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Finding the Third Proportional to 33,731 and 74,023

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Solution

The third proportional to 33,731 and 74,023 is: 162,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,731 : 74,023 = 74,023 : x
  2. Step 2: Convert to fraction form
    33,731/74,023 = 74,023/x
  3. Step 3: Cross multiply
    33,731x = 74,023 × 74,023
  4. Step 4: Simplify right side
    33,731x = 5,479,404,529
  5. Step 5: Solve for x
    x = 5,479,404,529/33,731
  6. Step 6: Final answer
    x = 162,444.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.