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Finding the Third Proportional to 31,698.84 and 66,933.84

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Solution

The third proportional to 31,698.84 and 66,933.84 is: 141,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.84 : 66,933.84 = 66,933.84 : x
  2. Step 2: Convert to fraction form
    31,698.84/66,933.84 = 66,933.84/x
  3. Step 3: Cross multiply
    31,698.84x = 66,933.84 × 66,933.84
  4. Step 4: Simplify right side
    31,698.84x = 4,480,139,439.15
  5. Step 5: Solve for x
    x = 4,480,139,439.15/31,698.84
  6. Step 6: Final answer
    x = 141,334.47

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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.