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Finding the Third Proportional to 13,042 and 14,374

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Solution

The third proportional to 13,042 and 14,374 is: 15,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042 : 14,374 = 14,374 : x
  2. Step 2: Convert to fraction form
    13,042/14,374 = 14,374/x
  3. Step 3: Cross multiply
    13,042x = 14,374 × 14,374
  4. Step 4: Simplify right side
    13,042x = 206,611,876
  5. Step 5: Solve for x
    x = 206,611,876/13,042
  6. Step 6: Final answer
    x = 15,842.04

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.