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Finding the Third Proportional to 19,857 and 43,274

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Solution

The third proportional to 19,857 and 43,274 is: 94,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857 : 43,274 = 43,274 : x
  2. Step 2: Convert to fraction form
    19,857/43,274 = 43,274/x
  3. Step 3: Cross multiply
    19,857x = 43,274 × 43,274
  4. Step 4: Simplify right side
    19,857x = 1,872,639,076
  5. Step 5: Solve for x
    x = 1,872,639,076/19,857
  6. Step 6: Final answer
    x = 94,306.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.