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Finding the Third Proportional to 47,523.94 and 66,441.94

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Solution

The third proportional to 47,523.94 and 66,441.94 is: 92,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523.94 : 66,441.94 = 66,441.94 : x
  2. Step 2: Convert to fraction form
    47,523.94/66,441.94 = 66,441.94/x
  3. Step 3: Cross multiply
    47,523.94x = 66,441.94 × 66,441.94
  4. Step 4: Simplify right side
    47,523.94x = 4,414,531,058.75
  5. Step 5: Solve for x
    x = 4,414,531,058.75/47,523.94
  6. Step 6: Final answer
    x = 92,890.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.