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Finding the Third Proportional to 1,310.06 and 2,747.81

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Solution

The third proportional to 1,310.06 and 2,747.81 is: 5,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.06 : 2,747.81 = 2,747.81 : x
  2. Step 2: Convert to fraction form
    1,310.06/2,747.81 = 2,747.81/x
  3. Step 3: Cross multiply
    1,310.06x = 2,747.81 × 2,747.81
  4. Step 4: Simplify right side
    1,310.06x = 7,550,473.54
  5. Step 5: Solve for x
    x = 7,550,473.54/1,310.06
  6. Step 6: Final answer
    x = 5,763.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.