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Finding the Third Proportional to 19,524 and 41,376

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Solution

The third proportional to 19,524 and 41,376 is: 87,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524 : 41,376 = 41,376 : x
  2. Step 2: Convert to fraction form
    19,524/41,376 = 41,376/x
  3. Step 3: Cross multiply
    19,524x = 41,376 × 41,376
  4. Step 4: Simplify right side
    19,524x = 1,711,973,376
  5. Step 5: Solve for x
    x = 1,711,973,376/19,524
  6. Step 6: Final answer
    x = 87,685.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.