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Finding the Third Proportional to 1,701.32 and 3,731.31

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Solution

The third proportional to 1,701.32 and 3,731.31 is: 8,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.32 : 3,731.31 = 3,731.31 : x
  2. Step 2: Convert to fraction form
    1,701.32/3,731.31 = 3,731.31/x
  3. Step 3: Cross multiply
    1,701.32x = 3,731.31 × 3,731.31
  4. Step 4: Simplify right side
    1,701.32x = 13,922,662.80
  5. Step 5: Solve for x
    x = 13,922,662.80/1,701.32
  6. Step 6: Final answer
    x = 8,183.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.