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Finding the Third Proportional to 4,614 and 7,857

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Solution

The third proportional to 4,614 and 7,857 is: 13,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614 : 7,857 = 7,857 : x
  2. Step 2: Convert to fraction form
    4,614/7,857 = 7,857/x
  3. Step 3: Cross multiply
    4,614x = 7,857 × 7,857
  4. Step 4: Simplify right side
    4,614x = 61,732,449
  5. Step 5: Solve for x
    x = 61,732,449/4,614
  6. Step 6: Final answer
    x = 13,379.38

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.