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Finding the Third Proportional to 7,007 and 14,663

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Solution

The third proportional to 7,007 and 14,663 is: 30,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007 : 14,663 = 14,663 : x
  2. Step 2: Convert to fraction form
    7,007/14,663 = 14,663/x
  3. Step 3: Cross multiply
    7,007x = 14,663 × 14,663
  4. Step 4: Simplify right side
    7,007x = 215,003,569
  5. Step 5: Solve for x
    x = 215,003,569/7,007
  6. Step 6: Final answer
    x = 30,684.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.