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Finding the Third Proportional to 6,374.53 and 13,860.28

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Solution

The third proportional to 6,374.53 and 13,860.28 is: 30,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.53 : 13,860.28 = 13,860.28 : x
  2. Step 2: Convert to fraction form
    6,374.53/13,860.28 = 13,860.28/x
  3. Step 3: Cross multiply
    6,374.53x = 13,860.28 × 13,860.28
  4. Step 4: Simplify right side
    6,374.53x = 192,107,396.33
  5. Step 5: Solve for x
    x = 192,107,396.33/6,374.53
  6. Step 6: Final answer
    x = 30,136.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.