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Finding the Third Proportional to 7,003 and 14,933

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Solution

The third proportional to 7,003 and 14,933 is: 31,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 14,933 = 14,933 : x
  2. Step 2: Convert to fraction form
    7,003/14,933 = 14,933/x
  3. Step 3: Cross multiply
    7,003x = 14,933 × 14,933
  4. Step 4: Simplify right side
    7,003x = 222,994,489
  5. Step 5: Solve for x
    x = 222,994,489/7,003
  6. Step 6: Final answer
    x = 31,842.71

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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.