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Finding the Third Proportional to 1,857.94 and 3,869.58

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Solution

The third proportional to 1,857.94 and 3,869.58 is: 8,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.94 : 3,869.58 = 3,869.58 : x
  2. Step 2: Convert to fraction form
    1,857.94/3,869.58 = 3,869.58/x
  3. Step 3: Cross multiply
    1,857.94x = 3,869.58 × 3,869.58
  4. Step 4: Simplify right side
    1,857.94x = 14,973,634.87
  5. Step 5: Solve for x
    x = 14,973,634.87/1,857.94
  6. Step 6: Final answer
    x = 8,059.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.