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Finding the Third Proportional to 2,037 and 4,714.88

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Solution

The third proportional to 2,037 and 4,714.88 is: 10,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 4,714.88 = 4,714.88 : x
  2. Step 2: Convert to fraction form
    2,037/4,714.88 = 4,714.88/x
  3. Step 3: Cross multiply
    2,037x = 4,714.88 × 4,714.88
  4. Step 4: Simplify right side
    2,037x = 22,230,046.27
  5. Step 5: Solve for x
    x = 22,230,046.27/2,037
  6. Step 6: Final answer
    x = 10,913.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.