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Finding the Third Proportional to 2,056.22 and 3,007.55

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Solution

The third proportional to 2,056.22 and 3,007.55 is: 4,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.22 : 3,007.55 = 3,007.55 : x
  2. Step 2: Convert to fraction form
    2,056.22/3,007.55 = 3,007.55/x
  3. Step 3: Cross multiply
    2,056.22x = 3,007.55 × 3,007.55
  4. Step 4: Simplify right side
    2,056.22x = 9,045,338.21
  5. Step 5: Solve for x
    x = 9,045,338.21/2,056.22
  6. Step 6: Final answer
    x = 4,399.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.