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Finding the Third Proportional to 14,286 and 21,714

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Solution

The third proportional to 14,286 and 21,714 is: 33,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 21,714 = 21,714 : x
  2. Step 2: Convert to fraction form
    14,286/21,714 = 21,714/x
  3. Step 3: Cross multiply
    14,286x = 21,714 × 21,714
  4. Step 4: Simplify right side
    14,286x = 471,497,796
  5. Step 5: Solve for x
    x = 471,497,796/14,286
  6. Step 6: Final answer
    x = 33,004.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.