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Finding the Third Proportional to 14,112 and 19,170

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Solution

The third proportional to 14,112 and 19,170 is: 26,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 19,170 = 19,170 : x
  2. Step 2: Convert to fraction form
    14,112/19,170 = 19,170/x
  3. Step 3: Cross multiply
    14,112x = 19,170 × 19,170
  4. Step 4: Simplify right side
    14,112x = 367,488,900
  5. Step 5: Solve for x
    x = 367,488,900/14,112
  6. Step 6: Final answer
    x = 26,040.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.