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Finding the Third Proportional to 1,671.57 and 3,767.45

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Solution

The third proportional to 1,671.57 and 3,767.45 is: 8,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.57 : 3,767.45 = 3,767.45 : x
  2. Step 2: Convert to fraction form
    1,671.57/3,767.45 = 3,767.45/x
  3. Step 3: Cross multiply
    1,671.57x = 3,767.45 × 3,767.45
  4. Step 4: Simplify right side
    1,671.57x = 14,193,673.62
  5. Step 5: Solve for x
    x = 14,193,673.62/1,671.57
  6. Step 6: Final answer
    x = 8,491.20

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.