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Finding the Third Proportional to 2,106.32 and 3,034.18

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Solution

The third proportional to 2,106.32 and 3,034.18 is: 4,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.32 : 3,034.18 = 3,034.18 : x
  2. Step 2: Convert to fraction form
    2,106.32/3,034.18 = 3,034.18/x
  3. Step 3: Cross multiply
    2,106.32x = 3,034.18 × 3,034.18
  4. Step 4: Simplify right side
    2,106.32x = 9,206,234.52
  5. Step 5: Solve for x
    x = 9,206,234.52/2,106.32
  6. Step 6: Final answer
    x = 4,370.77

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.