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Finding the Third Proportional to 16,714.41 and 36,709.03

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Solution

The third proportional to 16,714.41 and 36,709.03 is: 80,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.41 : 36,709.03 = 36,709.03 : x
  2. Step 2: Convert to fraction form
    16,714.41/36,709.03 = 36,709.03/x
  3. Step 3: Cross multiply
    16,714.41x = 36,709.03 × 36,709.03
  4. Step 4: Simplify right side
    16,714.41x = 1,347,552,975.31
  5. Step 5: Solve for x
    x = 1,347,552,975.31/16,714.41
  6. Step 6: Final answer
    x = 80,622.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.