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Finding the Third Proportional to 4,331.63 and 6,704.44

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Solution

The third proportional to 4,331.63 and 6,704.44 is: 10,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.63 : 6,704.44 = 6,704.44 : x
  2. Step 2: Convert to fraction form
    4,331.63/6,704.44 = 6,704.44/x
  3. Step 3: Cross multiply
    4,331.63x = 6,704.44 × 6,704.44
  4. Step 4: Simplify right side
    4,331.63x = 44,949,482.19
  5. Step 5: Solve for x
    x = 44,949,482.19/4,331.63
  6. Step 6: Final answer
    x = 10,377.05

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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.