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Finding the Third Proportional to 39,474 and 86,346

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Solution

The third proportional to 39,474 and 86,346 is: 188,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 86,346 = 86,346 : x
  2. Step 2: Convert to fraction form
    39,474/86,346 = 86,346/x
  3. Step 3: Cross multiply
    39,474x = 86,346 × 86,346
  4. Step 4: Simplify right side
    39,474x = 7,455,631,716
  5. Step 5: Solve for x
    x = 7,455,631,716/39,474
  6. Step 6: Final answer
    x = 188,874.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.