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Finding the Third Proportional to 33,486 and 72,798

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Solution

The third proportional to 33,486 and 72,798 is: 158,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,486 : 72,798 = 72,798 : x
  2. Step 2: Convert to fraction form
    33,486/72,798 = 72,798/x
  3. Step 3: Cross multiply
    33,486x = 72,798 × 72,798
  4. Step 4: Simplify right side
    33,486x = 5,299,548,804
  5. Step 5: Solve for x
    x = 5,299,548,804/33,486
  6. Step 6: Final answer
    x = 158,261.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.