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Finding the Third Proportional to 10,524 and 24,366

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Solution

The third proportional to 10,524 and 24,366 is: 56,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 24,366 = 24,366 : x
  2. Step 2: Convert to fraction form
    10,524/24,366 = 24,366/x
  3. Step 3: Cross multiply
    10,524x = 24,366 × 24,366
  4. Step 4: Simplify right side
    10,524x = 593,701,956
  5. Step 5: Solve for x
    x = 593,701,956/10,524
  6. Step 6: Final answer
    x = 56,414.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.