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Finding the Third Proportional to 1,555.31 and 3,738.94

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Solution

The third proportional to 1,555.31 and 3,738.94 is: 8,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.31 : 3,738.94 = 3,738.94 : x
  2. Step 2: Convert to fraction form
    1,555.31/3,738.94 = 3,738.94/x
  3. Step 3: Cross multiply
    1,555.31x = 3,738.94 × 3,738.94
  4. Step 4: Simplify right side
    1,555.31x = 13,979,653.63
  5. Step 5: Solve for x
    x = 13,979,653.63/1,555.31
  6. Step 6: Final answer
    x = 8,988.32

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.