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Finding the Third Proportional to 1,555.31 and 2,153.81

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Solution

The third proportional to 1,555.31 and 2,153.81 is: 2,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.31 : 2,153.81 = 2,153.81 : x
  2. Step 2: Convert to fraction form
    1,555.31/2,153.81 = 2,153.81/x
  3. Step 3: Cross multiply
    1,555.31x = 2,153.81 × 2,153.81
  4. Step 4: Simplify right side
    1,555.31x = 4,638,908.29
  5. Step 5: Solve for x
    x = 4,638,908.29/1,555.31
  6. Step 6: Final answer
    x = 2,982.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.