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Finding the Third Proportional to 13,714 and 29,275

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Solution

The third proportional to 13,714 and 29,275 is: 62,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714 : 29,275 = 29,275 : x
  2. Step 2: Convert to fraction form
    13,714/29,275 = 29,275/x
  3. Step 3: Cross multiply
    13,714x = 29,275 × 29,275
  4. Step 4: Simplify right side
    13,714x = 857,025,625
  5. Step 5: Solve for x
    x = 857,025,625/13,714
  6. Step 6: Final answer
    x = 62,492.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.