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Finding the Third Proportional to 47,649 and 74,194.50

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Solution

The third proportional to 47,649 and 74,194.50 is: 115,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649 : 74,194.50 = 74,194.50 : x
  2. Step 2: Convert to fraction form
    47,649/74,194.50 = 74,194.50/x
  3. Step 3: Cross multiply
    47,649x = 74,194.50 × 74,194.50
  4. Step 4: Simplify right side
    47,649x = 5,504,823,830.25
  5. Step 5: Solve for x
    x = 5,504,823,830.25/47,649
  6. Step 6: Final answer
    x = 115,528.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.