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Finding the Third Proportional to 4,762 and 9,857

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Solution

The third proportional to 4,762 and 9,857 is: 20,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 9,857 = 9,857 : x
  2. Step 2: Convert to fraction form
    4,762/9,857 = 9,857/x
  3. Step 3: Cross multiply
    4,762x = 9,857 × 9,857
  4. Step 4: Simplify right side
    4,762x = 97,160,449
  5. Step 5: Solve for x
    x = 97,160,449/4,762
  6. Step 6: Final answer
    x = 20,403.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.