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Finding the Third Proportional to 10,529 and 24,378

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Solution

The third proportional to 10,529 and 24,378 is: 56,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529 : 24,378 = 24,378 : x
  2. Step 2: Convert to fraction form
    10,529/24,378 = 24,378/x
  3. Step 3: Cross multiply
    10,529x = 24,378 × 24,378
  4. Step 4: Simplify right side
    10,529x = 594,286,884
  5. Step 5: Solve for x
    x = 594,286,884/10,529
  6. Step 6: Final answer
    x = 56,442.86

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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.