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Finding the Third Proportional to 7,016 and 14,678

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Solution

The third proportional to 7,016 and 14,678 is: 30,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016 : 14,678 = 14,678 : x
  2. Step 2: Convert to fraction form
    7,016/14,678 = 14,678/x
  3. Step 3: Cross multiply
    7,016x = 14,678 × 14,678
  4. Step 4: Simplify right side
    7,016x = 215,443,684
  5. Step 5: Solve for x
    x = 215,443,684/7,016
  6. Step 6: Final answer
    x = 30,707.48

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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.