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Finding the Third Proportional to 6,382 and 9,857

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Solution

The third proportional to 6,382 and 9,857 is: 15,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382 : 9,857 = 9,857 : x
  2. Step 2: Convert to fraction form
    6,382/9,857 = 9,857/x
  3. Step 3: Cross multiply
    6,382x = 9,857 × 9,857
  4. Step 4: Simplify right side
    6,382x = 97,160,449
  5. Step 5: Solve for x
    x = 97,160,449/6,382
  6. Step 6: Final answer
    x = 15,224.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.