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Finding the Third Proportional to 6,109 and 13,007

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Solution

The third proportional to 6,109 and 13,007 is: 27,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 13,007 = 13,007 : x
  2. Step 2: Convert to fraction form
    6,109/13,007 = 13,007/x
  3. Step 3: Cross multiply
    6,109x = 13,007 × 13,007
  4. Step 4: Simplify right side
    6,109x = 169,182,049
  5. Step 5: Solve for x
    x = 169,182,049/6,109
  6. Step 6: Final answer
    x = 27,693.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.