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Finding the Third Proportional to 3,848.50 and 5,998

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Solution

The third proportional to 3,848.50 and 5,998 is: 9,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.50 : 5,998 = 5,998 : x
  2. Step 2: Convert to fraction form
    3,848.50/5,998 = 5,998/x
  3. Step 3: Cross multiply
    3,848.50x = 5,998 × 5,998
  4. Step 4: Simplify right side
    3,848.50x = 35,976,004
  5. Step 5: Solve for x
    x = 35,976,004/3,848.50
  6. Step 6: Final answer
    x = 9,348.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.