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Finding the Third Proportional to 6,397.25 and 13,887.25

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Solution

The third proportional to 6,397.25 and 13,887.25 is: 30,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.25 : 13,887.25 = 13,887.25 : x
  2. Step 2: Convert to fraction form
    6,397.25/13,887.25 = 13,887.25/x
  3. Step 3: Cross multiply
    6,397.25x = 13,887.25 × 13,887.25
  4. Step 4: Simplify right side
    6,397.25x = 192,855,712.56
  5. Step 5: Solve for x
    x = 192,855,712.56/6,397.25
  6. Step 6: Final answer
    x = 30,146.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.