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Finding the Third Proportional to 1,984.13 and 3,308.63

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Solution

The third proportional to 1,984.13 and 3,308.63 is: 5,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.13 : 3,308.63 = 3,308.63 : x
  2. Step 2: Convert to fraction form
    1,984.13/3,308.63 = 3,308.63/x
  3. Step 3: Cross multiply
    1,984.13x = 3,308.63 × 3,308.63
  4. Step 4: Simplify right side
    1,984.13x = 10,946,999.39
  5. Step 5: Solve for x
    x = 10,946,999.39/1,984.13
  6. Step 6: Final answer
    x = 5,517.29

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.