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Finding the Third Proportional to 12,282 and 18,609

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Solution

The third proportional to 12,282 and 18,609 is: 28,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282 : 18,609 = 18,609 : x
  2. Step 2: Convert to fraction form
    12,282/18,609 = 18,609/x
  3. Step 3: Cross multiply
    12,282x = 18,609 × 18,609
  4. Step 4: Simplify right side
    12,282x = 346,294,881
  5. Step 5: Solve for x
    x = 346,294,881/12,282
  6. Step 6: Final answer
    x = 28,195.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.