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Finding the Third Proportional to 38,709 and 84,796

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Solution

The third proportional to 38,709 and 84,796 is: 185,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709 : 84,796 = 84,796 : x
  2. Step 2: Convert to fraction form
    38,709/84,796 = 84,796/x
  3. Step 3: Cross multiply
    38,709x = 84,796 × 84,796
  4. Step 4: Simplify right side
    38,709x = 7,190,361,616
  5. Step 5: Solve for x
    x = 7,190,361,616/38,709
  6. Step 6: Final answer
    x = 185,754.26

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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.