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Finding the Third Proportional to 1,321.73 and 1,848.02

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Solution

The third proportional to 1,321.73 and 1,848.02 is: 2,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.73 : 1,848.02 = 1,848.02 : x
  2. Step 2: Convert to fraction form
    1,321.73/1,848.02 = 1,848.02/x
  3. Step 3: Cross multiply
    1,321.73x = 1,848.02 × 1,848.02
  4. Step 4: Simplify right side
    1,321.73x = 3,415,190.63
  5. Step 5: Solve for x
    x = 3,415,190.63/1,321.73
  6. Step 6: Final answer
    x = 2,583.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.