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Finding the Third Proportional to 4,702 and 7,837

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Solution

The third proportional to 4,702 and 7,837 is: 13,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702 : 7,837 = 7,837 : x
  2. Step 2: Convert to fraction form
    4,702/7,837 = 7,837/x
  3. Step 3: Cross multiply
    4,702x = 7,837 × 7,837
  4. Step 4: Simplify right side
    4,702x = 61,418,569
  5. Step 5: Solve for x
    x = 61,418,569/4,702
  6. Step 6: Final answer
    x = 13,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.