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Finding the Third Proportional to 25,529 and 38,318

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Solution

The third proportional to 25,529 and 38,318 is: 57,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,529 : 38,318 = 38,318 : x
  2. Step 2: Convert to fraction form
    25,529/38,318 = 38,318/x
  3. Step 3: Cross multiply
    25,529x = 38,318 × 38,318
  4. Step 4: Simplify right side
    25,529x = 1,468,269,124
  5. Step 5: Solve for x
    x = 1,468,269,124/25,529
  6. Step 6: Final answer
    x = 57,513.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.