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Finding the Third Proportional to 19,864 and 43,521

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Solution

The third proportional to 19,864 and 43,521 is: 95,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864 : 43,521 = 43,521 : x
  2. Step 2: Convert to fraction form
    19,864/43,521 = 43,521/x
  3. Step 3: Cross multiply
    19,864x = 43,521 × 43,521
  4. Step 4: Simplify right side
    19,864x = 1,894,077,441
  5. Step 5: Solve for x
    x = 1,894,077,441/19,864
  6. Step 6: Final answer
    x = 95,352.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.