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Finding the Third Proportional to 1,313.44 and 2,033.72

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Solution

The third proportional to 1,313.44 and 2,033.72 is: 3,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.44 : 2,033.72 = 2,033.72 : x
  2. Step 2: Convert to fraction form
    1,313.44/2,033.72 = 2,033.72/x
  3. Step 3: Cross multiply
    1,313.44x = 2,033.72 × 2,033.72
  4. Step 4: Simplify right side
    1,313.44x = 4,136,011.95
  5. Step 5: Solve for x
    x = 4,136,011.95/1,313.44
  6. Step 6: Final answer
    x = 3,149.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.