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Finding the Third Proportional to 33,656 and 79,424

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Solution

The third proportional to 33,656 and 79,424 is: 187,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656 : 79,424 = 79,424 : x
  2. Step 2: Convert to fraction form
    33,656/79,424 = 79,424/x
  3. Step 3: Cross multiply
    33,656x = 79,424 × 79,424
  4. Step 4: Simplify right side
    33,656x = 6,308,171,776
  5. Step 5: Solve for x
    x = 6,308,171,776/33,656
  6. Step 6: Final answer
    x = 187,430.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.