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Finding the Third Proportional to 4,076.50 and 5,999

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Solution

The third proportional to 4,076.50 and 5,999 is: 8,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.50 : 5,999 = 5,999 : x
  2. Step 2: Convert to fraction form
    4,076.50/5,999 = 5,999/x
  3. Step 3: Cross multiply
    4,076.50x = 5,999 × 5,999
  4. Step 4: Simplify right side
    4,076.50x = 35,988,001
  5. Step 5: Solve for x
    x = 35,988,001/4,076.50
  6. Step 6: Final answer
    x = 8,828.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.