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Finding the Third Proportional to 14,494 and 19,381

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Solution

The third proportional to 14,494 and 19,381 is: 25,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494 : 19,381 = 19,381 : x
  2. Step 2: Convert to fraction form
    14,494/19,381 = 19,381/x
  3. Step 3: Cross multiply
    14,494x = 19,381 × 19,381
  4. Step 4: Simplify right side
    14,494x = 375,623,161
  5. Step 5: Solve for x
    x = 375,623,161/14,494
  6. Step 6: Final answer
    x = 25,915.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.