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Finding the Third Proportional to 6,402.75 and 13,973

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Solution

The third proportional to 6,402.75 and 13,973 is: 30,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.75 : 13,973 = 13,973 : x
  2. Step 2: Convert to fraction form
    6,402.75/13,973 = 13,973/x
  3. Step 3: Cross multiply
    6,402.75x = 13,973 × 13,973
  4. Step 4: Simplify right side
    6,402.75x = 195,244,729
  5. Step 5: Solve for x
    x = 195,244,729/6,402.75
  6. Step 6: Final answer
    x = 30,493.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.