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Finding the Third Proportional to 2,119.63 and 3,281.88

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Solution

The third proportional to 2,119.63 and 3,281.88 is: 5,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.63 : 3,281.88 = 3,281.88 : x
  2. Step 2: Convert to fraction form
    2,119.63/3,281.88 = 3,281.88/x
  3. Step 3: Cross multiply
    2,119.63x = 3,281.88 × 3,281.88
  4. Step 4: Simplify right side
    2,119.63x = 10,770,703.52
  5. Step 5: Solve for x
    x = 10,770,703.52/2,119.63
  6. Step 6: Final answer
    x = 5,081.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.