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Finding the Third Proportional to 2,310.81 and 3,551.94

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Solution

The third proportional to 2,310.81 and 3,551.94 is: 5,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.81 : 3,551.94 = 3,551.94 : x
  2. Step 2: Convert to fraction form
    2,310.81/3,551.94 = 3,551.94/x
  3. Step 3: Cross multiply
    2,310.81x = 3,551.94 × 3,551.94
  4. Step 4: Simplify right side
    2,310.81x = 12,616,260.00
  5. Step 5: Solve for x
    x = 12,616,260.00/2,310.81
  6. Step 6: Final answer
    x = 5,459.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.