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Finding the Third Proportional to 18,124 and 25,523

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Solution

The third proportional to 18,124 and 25,523 is: 35,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124 : 25,523 = 25,523 : x
  2. Step 2: Convert to fraction form
    18,124/25,523 = 25,523/x
  3. Step 3: Cross multiply
    18,124x = 25,523 × 25,523
  4. Step 4: Simplify right side
    18,124x = 651,423,529
  5. Step 5: Solve for x
    x = 651,423,529/18,124
  6. Step 6: Final answer
    x = 35,942.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.