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Finding the Third Proportional to 38,787 and 83,763

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Solution

The third proportional to 38,787 and 83,763 is: 180,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,787 : 83,763 = 83,763 : x
  2. Step 2: Convert to fraction form
    38,787/83,763 = 83,763/x
  3. Step 3: Cross multiply
    38,787x = 83,763 × 83,763
  4. Step 4: Simplify right side
    38,787x = 7,016,240,169
  5. Step 5: Solve for x
    x = 7,016,240,169/38,787
  6. Step 6: Final answer
    x = 180,891.54

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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.