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Finding the Third Proportional to 38,784 and 83,757

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Solution

The third proportional to 38,784 and 83,757 is: 180,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784 : 83,757 = 83,757 : x
  2. Step 2: Convert to fraction form
    38,784/83,757 = 83,757/x
  3. Step 3: Cross multiply
    38,784x = 83,757 × 83,757
  4. Step 4: Simplify right side
    38,784x = 7,015,235,049
  5. Step 5: Solve for x
    x = 7,015,235,049/38,784
  6. Step 6: Final answer
    x = 180,879.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.