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Finding the Third Proportional to 16,831.75 and 35,485.75

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Solution

The third proportional to 16,831.75 and 35,485.75 is: 74,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.75 : 35,485.75 = 35,485.75 : x
  2. Step 2: Convert to fraction form
    16,831.75/35,485.75 = 35,485.75/x
  3. Step 3: Cross multiply
    16,831.75x = 35,485.75 × 35,485.75
  4. Step 4: Simplify right side
    16,831.75x = 1,259,238,453.06
  5. Step 5: Solve for x
    x = 1,259,238,453.06/16,831.75
  6. Step 6: Final answer
    x = 74,813.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.