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Finding the Third Proportional to 13,924 and 30,620

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Solution

The third proportional to 13,924 and 30,620 is: 67,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924 : 30,620 = 30,620 : x
  2. Step 2: Convert to fraction form
    13,924/30,620 = 30,620/x
  3. Step 3: Cross multiply
    13,924x = 30,620 × 30,620
  4. Step 4: Simplify right side
    13,924x = 937,584,400
  5. Step 5: Solve for x
    x = 937,584,400/13,924
  6. Step 6: Final answer
    x = 67,335.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.