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Finding the Third Proportional to 12,293 and 18,433

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Solution

The third proportional to 12,293 and 18,433 is: 27,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293 : 18,433 = 18,433 : x
  2. Step 2: Convert to fraction form
    12,293/18,433 = 18,433/x
  3. Step 3: Cross multiply
    12,293x = 18,433 × 18,433
  4. Step 4: Simplify right side
    12,293x = 339,775,489
  5. Step 5: Solve for x
    x = 339,775,489/12,293
  6. Step 6: Final answer
    x = 27,639.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.