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Finding the Third Proportional to 14,286 and 30,759

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Solution

The third proportional to 14,286 and 30,759 is: 66,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 30,759 = 30,759 : x
  2. Step 2: Convert to fraction form
    14,286/30,759 = 30,759/x
  3. Step 3: Cross multiply
    14,286x = 30,759 × 30,759
  4. Step 4: Simplify right side
    14,286x = 946,116,081
  5. Step 5: Solve for x
    x = 946,116,081/14,286
  6. Step 6: Final answer
    x = 66,226.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.