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Finding the Third Proportional to 4,440.19 and 6,629.81

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Solution

The third proportional to 4,440.19 and 6,629.81 is: 9,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440.19 : 6,629.81 = 6,629.81 : x
  2. Step 2: Convert to fraction form
    4,440.19/6,629.81 = 6,629.81/x
  3. Step 3: Cross multiply
    4,440.19x = 6,629.81 × 6,629.81
  4. Step 4: Simplify right side
    4,440.19x = 43,954,413.79
  5. Step 5: Solve for x
    x = 43,954,413.79/4,440.19
  6. Step 6: Final answer
    x = 9,899.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.