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Finding the Third Proportional to 8,014 and 17,413

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Solution

The third proportional to 8,014 and 17,413 is: 37,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014 : 17,413 = 17,413 : x
  2. Step 2: Convert to fraction form
    8,014/17,413 = 17,413/x
  3. Step 3: Cross multiply
    8,014x = 17,413 × 17,413
  4. Step 4: Simplify right side
    8,014x = 303,212,569
  5. Step 5: Solve for x
    x = 303,212,569/8,014
  6. Step 6: Final answer
    x = 37,835.36

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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.