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Finding the Third Proportional to 39,296 and 84,864

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Solution

The third proportional to 39,296 and 84,864 is: 183,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296 : 84,864 = 84,864 : x
  2. Step 2: Convert to fraction form
    39,296/84,864 = 84,864/x
  3. Step 3: Cross multiply
    39,296x = 84,864 × 84,864
  4. Step 4: Simplify right side
    39,296x = 7,201,898,496
  5. Step 5: Solve for x
    x = 7,201,898,496/39,296
  6. Step 6: Final answer
    x = 183,273.07

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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.