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Finding the Third Proportional to 6,390.14 and 13,976.30

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Solution

The third proportional to 6,390.14 and 13,976.30 is: 30,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.14 : 13,976.30 = 13,976.30 : x
  2. Step 2: Convert to fraction form
    6,390.14/13,976.30 = 13,976.30/x
  3. Step 3: Cross multiply
    6,390.14x = 13,976.30 × 13,976.30
  4. Step 4: Simplify right side
    6,390.14x = 195,336,874.34
  5. Step 5: Solve for x
    x = 195,336,874.34/6,390.14
  6. Step 6: Final answer
    x = 30,568.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.