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Finding the Third Proportional to 1,095.38 and 1,734.19

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Solution

The third proportional to 1,095.38 and 1,734.19 is: 2,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.38 : 1,734.19 = 1,734.19 : x
  2. Step 2: Convert to fraction form
    1,095.38/1,734.19 = 1,734.19/x
  3. Step 3: Cross multiply
    1,095.38x = 1,734.19 × 1,734.19
  4. Step 4: Simplify right side
    1,095.38x = 3,007,406.29
  5. Step 5: Solve for x
    x = 3,007,406.29/1,095.38
  6. Step 6: Final answer
    x = 2,745.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.