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Finding the Third Proportional to 1,664.46 and 2,103.71

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Solution

The third proportional to 1,664.46 and 2,103.71 is: 2,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.46 : 2,103.71 = 2,103.71 : x
  2. Step 2: Convert to fraction form
    1,664.46/2,103.71 = 2,103.71/x
  3. Step 3: Cross multiply
    1,664.46x = 2,103.71 × 2,103.71
  4. Step 4: Simplify right side
    1,664.46x = 4,425,579.16
  5. Step 5: Solve for x
    x = 4,425,579.16/1,664.46
  6. Step 6: Final answer
    x = 2,658.88

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.