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Finding the Third Proportional to 47,340 and 74,268

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Solution

The third proportional to 47,340 and 74,268 is: 116,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340 : 74,268 = 74,268 : x
  2. Step 2: Convert to fraction form
    47,340/74,268 = 74,268/x
  3. Step 3: Cross multiply
    47,340x = 74,268 × 74,268
  4. Step 4: Simplify right side
    47,340x = 5,515,735,824
  5. Step 5: Solve for x
    x = 5,515,735,824/47,340
  6. Step 6: Final answer
    x = 116,513.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.