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Finding the Third Proportional to 6,680 and 14,287

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Solution

The third proportional to 6,680 and 14,287 is: 30,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 14,287 = 14,287 : x
  2. Step 2: Convert to fraction form
    6,680/14,287 = 14,287/x
  3. Step 3: Cross multiply
    6,680x = 14,287 × 14,287
  4. Step 4: Simplify right side
    6,680x = 204,118,369
  5. Step 5: Solve for x
    x = 204,118,369/6,680
  6. Step 6: Final answer
    x = 30,556.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.