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Finding the Third Proportional to 6,412 and 15,366

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Solution

The third proportional to 6,412 and 15,366 is: 36,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 15,366 = 15,366 : x
  2. Step 2: Convert to fraction form
    6,412/15,366 = 15,366/x
  3. Step 3: Cross multiply
    6,412x = 15,366 × 15,366
  4. Step 4: Simplify right side
    6,412x = 236,113,956
  5. Step 5: Solve for x
    x = 236,113,956/6,412
  6. Step 6: Final answer
    x = 36,823.76

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.