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Finding the Third Proportional to 3,502 and 7,933

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Solution

The third proportional to 3,502 and 7,933 is: 17,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 7,933 = 7,933 : x
  2. Step 2: Convert to fraction form
    3,502/7,933 = 7,933/x
  3. Step 3: Cross multiply
    3,502x = 7,933 × 7,933
  4. Step 4: Simplify right side
    3,502x = 62,932,489
  5. Step 5: Solve for x
    x = 62,932,489/3,502
  6. Step 6: Final answer
    x = 17,970.44

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.