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Finding the Third Proportional to 12,719 and 27,261

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Solution

The third proportional to 12,719 and 27,261 is: 58,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719 : 27,261 = 27,261 : x
  2. Step 2: Convert to fraction form
    12,719/27,261 = 27,261/x
  3. Step 3: Cross multiply
    12,719x = 27,261 × 27,261
  4. Step 4: Simplify right side
    12,719x = 743,162,121
  5. Step 5: Solve for x
    x = 743,162,121/12,719
  6. Step 6: Final answer
    x = 58,429.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.