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Finding the Third Proportional to 2,847 and 5,140.50

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Solution

The third proportional to 2,847 and 5,140.50 is: 9,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847 : 5,140.50 = 5,140.50 : x
  2. Step 2: Convert to fraction form
    2,847/5,140.50 = 5,140.50/x
  3. Step 3: Cross multiply
    2,847x = 5,140.50 × 5,140.50
  4. Step 4: Simplify right side
    2,847x = 26,424,740.25
  5. Step 5: Solve for x
    x = 26,424,740.25/2,847
  6. Step 6: Final answer
    x = 9,281.61

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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.