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Finding the Third Proportional to 5,190.75 and 6,108.75

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Solution

The third proportional to 5,190.75 and 6,108.75 is: 7,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.75 : 6,108.75 = 6,108.75 : x
  2. Step 2: Convert to fraction form
    5,190.75/6,108.75 = 6,108.75/x
  3. Step 3: Cross multiply
    5,190.75x = 6,108.75 × 6,108.75
  4. Step 4: Simplify right side
    5,190.75x = 37,316,826.56
  5. Step 5: Solve for x
    x = 37,316,826.56/5,190.75
  6. Step 6: Final answer
    x = 7,189.10

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.