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Finding the Third Proportional to 6,976.13 and 16,427.81

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Solution

The third proportional to 6,976.13 and 16,427.81 is: 38,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.13 : 16,427.81 = 16,427.81 : x
  2. Step 2: Convert to fraction form
    6,976.13/16,427.81 = 16,427.81/x
  3. Step 3: Cross multiply
    6,976.13x = 16,427.81 × 16,427.81
  4. Step 4: Simplify right side
    6,976.13x = 269,873,023.54
  5. Step 5: Solve for x
    x = 269,873,023.54/6,976.13
  6. Step 6: Final answer
    x = 38,685.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.