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Finding the Third Proportional to 1,707.33 and 3,734.02

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Solution

The third proportional to 1,707.33 and 3,734.02 is: 8,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.33 : 3,734.02 = 3,734.02 : x
  2. Step 2: Convert to fraction form
    1,707.33/3,734.02 = 3,734.02/x
  3. Step 3: Cross multiply
    1,707.33x = 3,734.02 × 3,734.02
  4. Step 4: Simplify right side
    1,707.33x = 13,942,872.69
  5. Step 5: Solve for x
    x = 13,942,872.69/1,707.33
  6. Step 6: Final answer
    x = 8,166.49

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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.