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Finding the Third Proportional to 5,406 and 7,933

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Solution

The third proportional to 5,406 and 7,933 is: 11,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 7,933 = 7,933 : x
  2. Step 2: Convert to fraction form
    5,406/7,933 = 7,933/x
  3. Step 3: Cross multiply
    5,406x = 7,933 × 7,933
  4. Step 4: Simplify right side
    5,406x = 62,932,489
  5. Step 5: Solve for x
    x = 62,932,489/5,406
  6. Step 6: Final answer
    x = 11,641.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.