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Finding the Third Proportional to 30,794.94 and 66,193.06

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Solution

The third proportional to 30,794.94 and 66,193.06 is: 142,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.94 : 66,193.06 = 66,193.06 : x
  2. Step 2: Convert to fraction form
    30,794.94/66,193.06 = 66,193.06/x
  3. Step 3: Cross multiply
    30,794.94x = 66,193.06 × 66,193.06
  4. Step 4: Simplify right side
    30,794.94x = 4,381,521,523.13
  5. Step 5: Solve for x
    x = 4,381,521,523.13/30,794.94
  6. Step 6: Final answer
    x = 142,280.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.