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Finding the Third Proportional to 1,767.94 and 3,809.81

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Solution

The third proportional to 1,767.94 and 3,809.81 is: 8,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.94 : 3,809.81 = 3,809.81 : x
  2. Step 2: Convert to fraction form
    1,767.94/3,809.81 = 3,809.81/x
  3. Step 3: Cross multiply
    1,767.94x = 3,809.81 × 3,809.81
  4. Step 4: Simplify right side
    1,767.94x = 14,514,671.29
  5. Step 5: Solve for x
    x = 14,514,671.29/1,767.94
  6. Step 6: Final answer
    x = 8,209.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.