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Finding the Third Proportional to 12,568 and 19,267

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Solution

The third proportional to 12,568 and 19,267 is: 29,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568 : 19,267 = 19,267 : x
  2. Step 2: Convert to fraction form
    12,568/19,267 = 19,267/x
  3. Step 3: Cross multiply
    12,568x = 19,267 × 19,267
  4. Step 4: Simplify right side
    12,568x = 371,217,289
  5. Step 5: Solve for x
    x = 371,217,289/12,568
  6. Step 6: Final answer
    x = 29,536.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.