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Finding the Third Proportional to 39,837 and 86,697

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Solution

The third proportional to 39,837 and 86,697 is: 188,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,837 : 86,697 = 86,697 : x
  2. Step 2: Convert to fraction form
    39,837/86,697 = 86,697/x
  3. Step 3: Cross multiply
    39,837x = 86,697 × 86,697
  4. Step 4: Simplify right side
    39,837x = 7,516,369,809
  5. Step 5: Solve for x
    x = 7,516,369,809/39,837
  6. Step 6: Final answer
    x = 188,678.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.