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Finding the Third Proportional to 6,323.93 and 7,025.52

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Solution

The third proportional to 6,323.93 and 7,025.52 is: 7,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.93 : 7,025.52 = 7,025.52 : x
  2. Step 2: Convert to fraction form
    6,323.93/7,025.52 = 7,025.52/x
  3. Step 3: Cross multiply
    6,323.93x = 7,025.52 × 7,025.52
  4. Step 4: Simplify right side
    6,323.93x = 49,357,986.43
  5. Step 5: Solve for x
    x = 49,357,986.43/6,323.93
  6. Step 6: Final answer
    x = 7,804.95

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.