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Finding the Third Proportional to 33,246 and 72,850

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Solution

The third proportional to 33,246 and 72,850 is: 159,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246 : 72,850 = 72,850 : x
  2. Step 2: Convert to fraction form
    33,246/72,850 = 72,850/x
  3. Step 3: Cross multiply
    33,246x = 72,850 × 72,850
  4. Step 4: Simplify right side
    33,246x = 5,307,122,500
  5. Step 5: Solve for x
    x = 5,307,122,500/33,246
  6. Step 6: Final answer
    x = 159,631.91

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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.