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Finding the Third Proportional to 12,830 and 18,759

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Solution

The third proportional to 12,830 and 18,759 is: 27,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830 : 18,759 = 18,759 : x
  2. Step 2: Convert to fraction form
    12,830/18,759 = 18,759/x
  3. Step 3: Cross multiply
    12,830x = 18,759 × 18,759
  4. Step 4: Simplify right side
    12,830x = 351,900,081
  5. Step 5: Solve for x
    x = 351,900,081/12,830
  6. Step 6: Final answer
    x = 27,427.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.