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Finding the Third Proportional to 6,147.14 and 13,680.14

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Solution

The third proportional to 6,147.14 and 13,680.14 is: 30,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.14 : 13,680.14 = 13,680.14 : x
  2. Step 2: Convert to fraction form
    6,147.14/13,680.14 = 13,680.14/x
  3. Step 3: Cross multiply
    6,147.14x = 13,680.14 × 13,680.14
  4. Step 4: Simplify right side
    6,147.14x = 187,146,247.52
  5. Step 5: Solve for x
    x = 187,146,247.52/6,147.14
  6. Step 6: Final answer
    x = 30,444.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.