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Finding the Third Proportional to 1,984.50 and 4,273.50

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Solution

The third proportional to 1,984.50 and 4,273.50 is: 9,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.50 : 4,273.50 = 4,273.50 : x
  2. Step 2: Convert to fraction form
    1,984.50/4,273.50 = 4,273.50/x
  3. Step 3: Cross multiply
    1,984.50x = 4,273.50 × 4,273.50
  4. Step 4: Simplify right side
    1,984.50x = 18,262,802.25
  5. Step 5: Solve for x
    x = 18,262,802.25/1,984.50
  6. Step 6: Final answer
    x = 9,202.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.