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Finding the Third Proportional to 12,568 and 27,319

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Solution

The third proportional to 12,568 and 27,319 is: 59,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568 : 27,319 = 27,319 : x
  2. Step 2: Convert to fraction form
    12,568/27,319 = 27,319/x
  3. Step 3: Cross multiply
    12,568x = 27,319 × 27,319
  4. Step 4: Simplify right side
    12,568x = 746,327,761
  5. Step 5: Solve for x
    x = 746,327,761/12,568
  6. Step 6: Final answer
    x = 59,383.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.