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Finding the Third Proportional to 7,072 and 14,917

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Solution

The third proportional to 7,072 and 14,917 is: 31,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072 : 14,917 = 14,917 : x
  2. Step 2: Convert to fraction form
    7,072/14,917 = 14,917/x
  3. Step 3: Cross multiply
    7,072x = 14,917 × 14,917
  4. Step 4: Simplify right side
    7,072x = 222,516,889
  5. Step 5: Solve for x
    x = 222,516,889/7,072
  6. Step 6: Final answer
    x = 31,464.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.