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Finding the Third Proportional to 14,112 and 19,782

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Solution

The third proportional to 14,112 and 19,782 is: 27,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 19,782 = 19,782 : x
  2. Step 2: Convert to fraction form
    14,112/19,782 = 19,782/x
  3. Step 3: Cross multiply
    14,112x = 19,782 × 19,782
  4. Step 4: Simplify right side
    14,112x = 391,327,524
  5. Step 5: Solve for x
    x = 391,327,524/14,112
  6. Step 6: Final answer
    x = 27,730.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.