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Finding the Third Proportional to 3,471.75 and 6,295.50

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Solution

The third proportional to 3,471.75 and 6,295.50 is: 11,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.75 : 6,295.50 = 6,295.50 : x
  2. Step 2: Convert to fraction form
    3,471.75/6,295.50 = 6,295.50/x
  3. Step 3: Cross multiply
    3,471.75x = 6,295.50 × 6,295.50
  4. Step 4: Simplify right side
    3,471.75x = 39,633,320.25
  5. Step 5: Solve for x
    x = 39,633,320.25/3,471.75
  6. Step 6: Final answer
    x = 11,415.95

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.