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Finding the Third Proportional to 3,976.25 and 5,848.50

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Solution

The third proportional to 3,976.25 and 5,848.50 is: 8,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.25 : 5,848.50 = 5,848.50 : x
  2. Step 2: Convert to fraction form
    3,976.25/5,848.50 = 5,848.50/x
  3. Step 3: Cross multiply
    3,976.25x = 5,848.50 × 5,848.50
  4. Step 4: Simplify right side
    3,976.25x = 34,204,952.25
  5. Step 5: Solve for x
    x = 34,204,952.25/3,976.25
  6. Step 6: Final answer
    x = 8,602.31

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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.