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Finding the Third Proportional to 19,812 and 28,170

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Solution

The third proportional to 19,812 and 28,170 is: 40,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 28,170 = 28,170 : x
  2. Step 2: Convert to fraction form
    19,812/28,170 = 28,170/x
  3. Step 3: Cross multiply
    19,812x = 28,170 × 28,170
  4. Step 4: Simplify right side
    19,812x = 793,548,900
  5. Step 5: Solve for x
    x = 793,548,900/19,812
  6. Step 6: Final answer
    x = 40,053.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.