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Finding the Third Proportional to 38,568 and 84,516

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Solution

The third proportional to 38,568 and 84,516 is: 185,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,568 : 84,516 = 84,516 : x
  2. Step 2: Convert to fraction form
    38,568/84,516 = 84,516/x
  3. Step 3: Cross multiply
    38,568x = 84,516 × 84,516
  4. Step 4: Simplify right side
    38,568x = 7,142,954,256
  5. Step 5: Solve for x
    x = 7,142,954,256/38,568
  6. Step 6: Final answer
    x = 185,204.17

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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.