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Finding the Third Proportional to 3,235.25 and 4,847.88

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Solution

The third proportional to 3,235.25 and 4,847.88 is: 7,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.25 : 4,847.88 = 4,847.88 : x
  2. Step 2: Convert to fraction form
    3,235.25/4,847.88 = 4,847.88/x
  3. Step 3: Cross multiply
    3,235.25x = 4,847.88 × 4,847.88
  4. Step 4: Simplify right side
    3,235.25x = 23,501,892.02
  5. Step 5: Solve for x
    x = 23,501,892.02/3,235.25
  6. Step 6: Final answer
    x = 7,264.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.