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Finding the Third Proportional to 6,407 and 13,982

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Solution

The third proportional to 6,407 and 13,982 is: 30,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 13,982 = 13,982 : x
  2. Step 2: Convert to fraction form
    6,407/13,982 = 13,982/x
  3. Step 3: Cross multiply
    6,407x = 13,982 × 13,982
  4. Step 4: Simplify right side
    6,407x = 195,496,324
  5. Step 5: Solve for x
    x = 195,496,324/6,407
  6. Step 6: Final answer
    x = 30,512.93

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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.