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Finding the Third Proportional to 39,432 and 84,696

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Solution

The third proportional to 39,432 and 84,696 is: 181,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,432 : 84,696 = 84,696 : x
  2. Step 2: Convert to fraction form
    39,432/84,696 = 84,696/x
  3. Step 3: Cross multiply
    39,432x = 84,696 × 84,696
  4. Step 4: Simplify right side
    39,432x = 7,173,412,416
  5. Step 5: Solve for x
    x = 7,173,412,416/39,432
  6. Step 6: Final answer
    x = 181,918.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.