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Finding the Third Proportional to 38,752 and 81,856

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Solution

The third proportional to 38,752 and 81,856 is: 172,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,752 : 81,856 = 81,856 : x
  2. Step 2: Convert to fraction form
    38,752/81,856 = 81,856/x
  3. Step 3: Cross multiply
    38,752x = 81,856 × 81,856
  4. Step 4: Simplify right side
    38,752x = 6,700,404,736
  5. Step 5: Solve for x
    x = 6,700,404,736/38,752
  6. Step 6: Final answer
    x = 172,904.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.