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Finding the Third Proportional to 2,162.44 and 4,714.12

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Solution

The third proportional to 2,162.44 and 4,714.12 is: 10,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.44 : 4,714.12 = 4,714.12 : x
  2. Step 2: Convert to fraction form
    2,162.44/4,714.12 = 4,714.12/x
  3. Step 3: Cross multiply
    2,162.44x = 4,714.12 × 4,714.12
  4. Step 4: Simplify right side
    2,162.44x = 22,222,898.56
  5. Step 5: Solve for x
    x = 22,222,898.56/2,162.44
  6. Step 6: Final answer
    x = 10,276.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.