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Finding the Third Proportional to 5,847 and 7,102.50

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Solution

The third proportional to 5,847 and 7,102.50 is: 8,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847 : 7,102.50 = 7,102.50 : x
  2. Step 2: Convert to fraction form
    5,847/7,102.50 = 7,102.50/x
  3. Step 3: Cross multiply
    5,847x = 7,102.50 × 7,102.50
  4. Step 4: Simplify right side
    5,847x = 50,445,506.25
  5. Step 5: Solve for x
    x = 50,445,506.25/5,847
  6. Step 6: Final answer
    x = 8,627.59

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.