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Finding the Third Proportional to 33,831.84 and 74,007.84

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Solution

The third proportional to 33,831.84 and 74,007.84 is: 161,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831.84 : 74,007.84 = 74,007.84 : x
  2. Step 2: Convert to fraction form
    33,831.84/74,007.84 = 74,007.84/x
  3. Step 3: Cross multiply
    33,831.84x = 74,007.84 × 74,007.84
  4. Step 4: Simplify right side
    33,831.84x = 5,477,160,936.52
  5. Step 5: Solve for x
    x = 5,477,160,936.52/33,831.84
  6. Step 6: Final answer
    x = 161,893.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.