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Finding the Third Proportional to 33,374 and 72,940

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Solution

The third proportional to 33,374 and 72,940 is: 159,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374 : 72,940 = 72,940 : x
  2. Step 2: Convert to fraction form
    33,374/72,940 = 72,940/x
  3. Step 3: Cross multiply
    33,374x = 72,940 × 72,940
  4. Step 4: Simplify right side
    33,374x = 5,320,243,600
  5. Step 5: Solve for x
    x = 5,320,243,600/33,374
  6. Step 6: Final answer
    x = 159,412.82

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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.