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Finding the Third Proportional to 18,207 and 25,606

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Solution

The third proportional to 18,207 and 25,606 is: 36,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207 : 25,606 = 25,606 : x
  2. Step 2: Convert to fraction form
    18,207/25,606 = 25,606/x
  3. Step 3: Cross multiply
    18,207x = 25,606 × 25,606
  4. Step 4: Simplify right side
    18,207x = 655,667,236
  5. Step 5: Solve for x
    x = 655,667,236/18,207
  6. Step 6: Final answer
    x = 36,011.82

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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.