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Finding the Third Proportional to 33,856 and 74,276

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Solution

The third proportional to 33,856 and 74,276 is: 162,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856 : 74,276 = 74,276 : x
  2. Step 2: Convert to fraction form
    33,856/74,276 = 74,276/x
  3. Step 3: Cross multiply
    33,856x = 74,276 × 74,276
  4. Step 4: Simplify right side
    33,856x = 5,516,924,176
  5. Step 5: Solve for x
    x = 5,516,924,176/33,856
  6. Step 6: Final answer
    x = 162,952.63

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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.