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Finding the Third Proportional to 37,586 and 78,817

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Solution

The third proportional to 37,586 and 78,817 is: 165,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586 : 78,817 = 78,817 : x
  2. Step 2: Convert to fraction form
    37,586/78,817 = 78,817/x
  3. Step 3: Cross multiply
    37,586x = 78,817 × 78,817
  4. Step 4: Simplify right side
    37,586x = 6,212,119,489
  5. Step 5: Solve for x
    x = 6,212,119,489/37,586
  6. Step 6: Final answer
    x = 165,277.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.