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Finding the Third Proportional to 1,734.94 and 2,645.81

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Solution

The third proportional to 1,734.94 and 2,645.81 is: 4,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.94 : 2,645.81 = 2,645.81 : x
  2. Step 2: Convert to fraction form
    1,734.94/2,645.81 = 2,645.81/x
  3. Step 3: Cross multiply
    1,734.94x = 2,645.81 × 2,645.81
  4. Step 4: Simplify right side
    1,734.94x = 7,000,323.79
  5. Step 5: Solve for x
    x = 7,000,323.79/1,734.94
  6. Step 6: Final answer
    x = 4,034.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.