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Finding the Third Proportional to 4,950.75 and 6,822.19

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Solution

The third proportional to 4,950.75 and 6,822.19 is: 9,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.75 : 6,822.19 = 6,822.19 : x
  2. Step 2: Convert to fraction form
    4,950.75/6,822.19 = 6,822.19/x
  3. Step 3: Cross multiply
    4,950.75x = 6,822.19 × 6,822.19
  4. Step 4: Simplify right side
    4,950.75x = 46,542,242.29
  5. Step 5: Solve for x
    x = 46,542,242.29/4,950.75
  6. Step 6: Final answer
    x = 9,401.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.