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Finding the Third Proportional to 38,751 and 82,789

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Solution

The third proportional to 38,751 and 82,789 is: 176,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,751 : 82,789 = 82,789 : x
  2. Step 2: Convert to fraction form
    38,751/82,789 = 82,789/x
  3. Step 3: Cross multiply
    38,751x = 82,789 × 82,789
  4. Step 4: Simplify right side
    38,751x = 6,854,018,521
  5. Step 5: Solve for x
    x = 6,854,018,521/38,751
  6. Step 6: Final answer
    x = 176,873.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.