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Finding the Third Proportional to 11,254 and 18,609

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Solution

The third proportional to 11,254 and 18,609 is: 30,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254 : 18,609 = 18,609 : x
  2. Step 2: Convert to fraction form
    11,254/18,609 = 18,609/x
  3. Step 3: Cross multiply
    11,254x = 18,609 × 18,609
  4. Step 4: Simplify right side
    11,254x = 346,294,881
  5. Step 5: Solve for x
    x = 346,294,881/11,254
  6. Step 6: Final answer
    x = 30,770.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.