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Finding the Third Proportional to 3,740 and 7,837

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Solution

The third proportional to 3,740 and 7,837 is: 16,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740 : 7,837 = 7,837 : x
  2. Step 2: Convert to fraction form
    3,740/7,837 = 7,837/x
  3. Step 3: Cross multiply
    3,740x = 7,837 × 7,837
  4. Step 4: Simplify right side
    3,740x = 61,418,569
  5. Step 5: Solve for x
    x = 61,418,569/3,740
  6. Step 6: Final answer
    x = 16,422.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.