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Finding the Third Proportional to 38,511 and 84,573

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Solution

The third proportional to 38,511 and 84,573 is: 185,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511 : 84,573 = 84,573 : x
  2. Step 2: Convert to fraction form
    38,511/84,573 = 84,573/x
  3. Step 3: Cross multiply
    38,511x = 84,573 × 84,573
  4. Step 4: Simplify right side
    38,511x = 7,152,592,329
  5. Step 5: Solve for x
    x = 7,152,592,329/38,511
  6. Step 6: Final answer
    x = 185,728.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.