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Finding the Third Proportional to 6,373 and 13,973

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Solution

The third proportional to 6,373 and 13,973 is: 30,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373 : 13,973 = 13,973 : x
  2. Step 2: Convert to fraction form
    6,373/13,973 = 13,973/x
  3. Step 3: Cross multiply
    6,373x = 13,973 × 13,973
  4. Step 4: Simplify right side
    6,373x = 195,244,729
  5. Step 5: Solve for x
    x = 195,244,729/6,373
  6. Step 6: Final answer
    x = 30,636.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.