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Finding the Third Proportional to 33,285 and 72,403

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Solution

The third proportional to 33,285 and 72,403 is: 157,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285 : 72,403 = 72,403 : x
  2. Step 2: Convert to fraction form
    33,285/72,403 = 72,403/x
  3. Step 3: Cross multiply
    33,285x = 72,403 × 72,403
  4. Step 4: Simplify right side
    33,285x = 5,242,194,409
  5. Step 5: Solve for x
    x = 5,242,194,409/33,285
  6. Step 6: Final answer
    x = 157,494.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.