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Finding the Third Proportional to 6,407 and 12,634

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Solution

The third proportional to 6,407 and 12,634 is: 24,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 12,634 = 12,634 : x
  2. Step 2: Convert to fraction form
    6,407/12,634 = 12,634/x
  3. Step 3: Cross multiply
    6,407x = 12,634 × 12,634
  4. Step 4: Simplify right side
    6,407x = 159,617,956
  5. Step 5: Solve for x
    x = 159,617,956/6,407
  6. Step 6: Final answer
    x = 24,913.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.