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Finding the Third Proportional to 6,402 and 12,939

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Solution

The third proportional to 6,402 and 12,939 is: 26,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 12,939 = 12,939 : x
  2. Step 2: Convert to fraction form
    6,402/12,939 = 12,939/x
  3. Step 3: Cross multiply
    6,402x = 12,939 × 12,939
  4. Step 4: Simplify right side
    6,402x = 167,417,721
  5. Step 5: Solve for x
    x = 167,417,721/6,402
  6. Step 6: Final answer
    x = 26,150.85

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.