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Finding the Third Proportional to 38,680 and 84,827

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Solution

The third proportional to 38,680 and 84,827 is: 186,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,680 : 84,827 = 84,827 : x
  2. Step 2: Convert to fraction form
    38,680/84,827 = 84,827/x
  3. Step 3: Cross multiply
    38,680x = 84,827 × 84,827
  4. Step 4: Simplify right side
    38,680x = 7,195,619,929
  5. Step 5: Solve for x
    x = 7,195,619,929/38,680
  6. Step 6: Final answer
    x = 186,029.47

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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.