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Finding the Third Proportional to 18,236 and 25,124

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Solution

The third proportional to 18,236 and 25,124 is: 34,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236 : 25,124 = 25,124 : x
  2. Step 2: Convert to fraction form
    18,236/25,124 = 25,124/x
  3. Step 3: Cross multiply
    18,236x = 25,124 × 25,124
  4. Step 4: Simplify right side
    18,236x = 631,215,376
  5. Step 5: Solve for x
    x = 631,215,376/18,236
  6. Step 6: Final answer
    x = 34,613.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.