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Finding the Third Proportional to 1,883.81 and 2,869.59

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Solution

The third proportional to 1,883.81 and 2,869.59 is: 4,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.81 : 2,869.59 = 2,869.59 : x
  2. Step 2: Convert to fraction form
    1,883.81/2,869.59 = 2,869.59/x
  3. Step 3: Cross multiply
    1,883.81x = 2,869.59 × 2,869.59
  4. Step 4: Simplify right side
    1,883.81x = 8,234,568.29
  5. Step 5: Solve for x
    x = 8,234,568.29/1,883.81
  6. Step 6: Final answer
    x = 4,371.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.