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Finding the Third Proportional to 38,448 and 83,808

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Solution

The third proportional to 38,448 and 83,808 is: 182,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448 : 83,808 = 83,808 : x
  2. Step 2: Convert to fraction form
    38,448/83,808 = 83,808/x
  3. Step 3: Cross multiply
    38,448x = 83,808 × 83,808
  4. Step 4: Simplify right side
    38,448x = 7,023,780,864
  5. Step 5: Solve for x
    x = 7,023,780,864/38,448
  6. Step 6: Final answer
    x = 182,682.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.