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Finding the Third Proportional to 37,769 and 80,023

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Solution

The third proportional to 37,769 and 80,023 is: 169,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769 : 80,023 = 80,023 : x
  2. Step 2: Convert to fraction form
    37,769/80,023 = 80,023/x
  3. Step 3: Cross multiply
    37,769x = 80,023 × 80,023
  4. Step 4: Simplify right side
    37,769x = 6,403,680,529
  5. Step 5: Solve for x
    x = 6,403,680,529/37,769
  6. Step 6: Final answer
    x = 169,548.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.