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Finding the Third Proportional to 3,023.89 and 4,106.32

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Solution

The third proportional to 3,023.89 and 4,106.32 is: 5,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.89 : 4,106.32 = 4,106.32 : x
  2. Step 2: Convert to fraction form
    3,023.89/4,106.32 = 4,106.32/x
  3. Step 3: Cross multiply
    3,023.89x = 4,106.32 × 4,106.32
  4. Step 4: Simplify right side
    3,023.89x = 16,861,866.51
  5. Step 5: Solve for x
    x = 16,861,866.51/3,023.89
  6. Step 6: Final answer
    x = 5,576.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.