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Finding the Third Proportional to 13,714.31 and 18,350.30

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Solution

The third proportional to 13,714.31 and 18,350.30 is: 24,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.31 : 18,350.30 = 18,350.30 : x
  2. Step 2: Convert to fraction form
    13,714.31/18,350.30 = 18,350.30/x
  3. Step 3: Cross multiply
    13,714.31x = 18,350.30 × 18,350.30
  4. Step 4: Simplify right side
    13,714.31x = 336,733,395.40
  5. Step 5: Solve for x
    x = 336,733,395.40/13,714.31
  6. Step 6: Final answer
    x = 24,553.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.