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Finding the Third Proportional to 1,591.73 and 3,507.47

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Solution

The third proportional to 1,591.73 and 3,507.47 is: 7,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.73 : 3,507.47 = 3,507.47 : x
  2. Step 2: Convert to fraction form
    1,591.73/3,507.47 = 3,507.47/x
  3. Step 3: Cross multiply
    1,591.73x = 3,507.47 × 3,507.47
  4. Step 4: Simplify right side
    1,591.73x = 12,302,337.03
  5. Step 5: Solve for x
    x = 12,302,337.03/1,591.73
  6. Step 6: Final answer
    x = 7,728.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.