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Finding the Third Proportional to 5,490.75 and 6,300.75

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Solution

The third proportional to 5,490.75 and 6,300.75 is: 7,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.75 : 6,300.75 = 6,300.75 : x
  2. Step 2: Convert to fraction form
    5,490.75/6,300.75 = 6,300.75/x
  3. Step 3: Cross multiply
    5,490.75x = 6,300.75 × 6,300.75
  4. Step 4: Simplify right side
    5,490.75x = 39,699,450.56
  5. Step 5: Solve for x
    x = 39,699,450.56/5,490.75
  6. Step 6: Final answer
    x = 7,230.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.