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Finding the Third Proportional to 38,716 and 84,808

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Solution

The third proportional to 38,716 and 84,808 is: 185,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,716 : 84,808 = 84,808 : x
  2. Step 2: Convert to fraction form
    38,716/84,808 = 84,808/x
  3. Step 3: Cross multiply
    38,716x = 84,808 × 84,808
  4. Step 4: Simplify right side
    38,716x = 7,192,396,864
  5. Step 5: Solve for x
    x = 7,192,396,864/38,716
  6. Step 6: Final answer
    x = 185,773.24

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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.