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Finding the Third Proportional to 13,381 and 28,142

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Solution

The third proportional to 13,381 and 28,142 is: 59,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381 : 28,142 = 28,142 : x
  2. Step 2: Convert to fraction form
    13,381/28,142 = 28,142/x
  3. Step 3: Cross multiply
    13,381x = 28,142 × 28,142
  4. Step 4: Simplify right side
    13,381x = 791,972,164
  5. Step 5: Solve for x
    x = 791,972,164/13,381
  6. Step 6: Final answer
    x = 59,186.32

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