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Finding the Third Proportional to 6,246.28 and 13,194.14

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Solution

The third proportional to 6,246.28 and 13,194.14 is: 27,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.28 : 13,194.14 = 13,194.14 : x
  2. Step 2: Convert to fraction form
    6,246.28/13,194.14 = 13,194.14/x
  3. Step 3: Cross multiply
    6,246.28x = 13,194.14 × 13,194.14
  4. Step 4: Simplify right side
    6,246.28x = 174,085,346.83
  5. Step 5: Solve for x
    x = 174,085,346.83/6,246.28
  6. Step 6: Final answer
    x = 27,870.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.