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Finding the Third Proportional to 30,844.97 and 66,975.19

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Solution

The third proportional to 30,844.97 and 66,975.19 is: 145,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.97 : 66,975.19 = 66,975.19 : x
  2. Step 2: Convert to fraction form
    30,844.97/66,975.19 = 66,975.19/x
  3. Step 3: Cross multiply
    30,844.97x = 66,975.19 × 66,975.19
  4. Step 4: Simplify right side
    30,844.97x = 4,485,675,740.66
  5. Step 5: Solve for x
    x = 4,485,675,740.66/30,844.97
  6. Step 6: Final answer
    x = 145,426.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.