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Finding the Third Proportional to 5,254.50 and 8,201.25

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Solution

The third proportional to 5,254.50 and 8,201.25 is: 12,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.50 : 8,201.25 = 8,201.25 : x
  2. Step 2: Convert to fraction form
    5,254.50/8,201.25 = 8,201.25/x
  3. Step 3: Cross multiply
    5,254.50x = 8,201.25 × 8,201.25
  4. Step 4: Simplify right side
    5,254.50x = 67,260,501.56
  5. Step 5: Solve for x
    x = 67,260,501.56/5,254.50
  6. Step 6: Final answer
    x = 12,800.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.