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Finding the Third Proportional to 5,190 and 8,049.75

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Solution

The third proportional to 5,190 and 8,049.75 is: 12,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190 : 8,049.75 = 8,049.75 : x
  2. Step 2: Convert to fraction form
    5,190/8,049.75 = 8,049.75/x
  3. Step 3: Cross multiply
    5,190x = 8,049.75 × 8,049.75
  4. Step 4: Simplify right side
    5,190x = 64,798,475.06
  5. Step 5: Solve for x
    x = 64,798,475.06/5,190
  6. Step 6: Final answer
    x = 12,485.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.