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Finding the Third Proportional to 18,714.80 and 41,017.64

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Solution

The third proportional to 18,714.80 and 41,017.64 is: 89,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714.80 : 41,017.64 = 41,017.64 : x
  2. Step 2: Convert to fraction form
    18,714.80/41,017.64 = 41,017.64/x
  3. Step 3: Cross multiply
    18,714.80x = 41,017.64 × 41,017.64
  4. Step 4: Simplify right side
    18,714.80x = 1,682,446,842.44
  5. Step 5: Solve for x
    x = 1,682,446,842.44/18,714.80
  6. Step 6: Final answer
    x = 89,899.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.