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Finding the Third Proportional to 7,859 and 10,381

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Solution

The third proportional to 7,859 and 10,381 is: 13,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 10,381 = 10,381 : x
  2. Step 2: Convert to fraction form
    7,859/10,381 = 10,381/x
  3. Step 3: Cross multiply
    7,859x = 10,381 × 10,381
  4. Step 4: Simplify right side
    7,859x = 107,765,161
  5. Step 5: Solve for x
    x = 107,765,161/7,859
  6. Step 6: Final answer
    x = 13,712.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.