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Finding the Third Proportional to 1,984.50 and 4,223.39

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Solution

The third proportional to 1,984.50 and 4,223.39 is: 8,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.50 : 4,223.39 = 4,223.39 : x
  2. Step 2: Convert to fraction form
    1,984.50/4,223.39 = 4,223.39/x
  3. Step 3: Cross multiply
    1,984.50x = 4,223.39 × 4,223.39
  4. Step 4: Simplify right side
    1,984.50x = 17,837,028.37
  5. Step 5: Solve for x
    x = 17,837,028.37/1,984.50
  6. Step 6: Final answer
    x = 8,988.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.