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Finding the Third Proportional to 3,046.36 and 4,831.52

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Solution

The third proportional to 3,046.36 and 4,831.52 is: 7,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.36 : 4,831.52 = 4,831.52 : x
  2. Step 2: Convert to fraction form
    3,046.36/4,831.52 = 4,831.52/x
  3. Step 3: Cross multiply
    3,046.36x = 4,831.52 × 4,831.52
  4. Step 4: Simplify right side
    3,046.36x = 23,343,618.73
  5. Step 5: Solve for x
    x = 23,343,618.73/3,046.36
  6. Step 6: Final answer
    x = 7,662.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.