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Finding the Third Proportional to 19,771 and 28,917

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Solution

The third proportional to 19,771 and 28,917 is: 42,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771 : 28,917 = 28,917 : x
  2. Step 2: Convert to fraction form
    19,771/28,917 = 28,917/x
  3. Step 3: Cross multiply
    19,771x = 28,917 × 28,917
  4. Step 4: Simplify right side
    19,771x = 836,192,889
  5. Step 5: Solve for x
    x = 836,192,889/19,771
  6. Step 6: Final answer
    x = 42,293.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.