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Finding the Third Proportional to 47,874 and 73,083

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Solution

The third proportional to 47,874 and 73,083 is: 111,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874 : 73,083 = 73,083 : x
  2. Step 2: Convert to fraction form
    47,874/73,083 = 73,083/x
  3. Step 3: Cross multiply
    47,874x = 73,083 × 73,083
  4. Step 4: Simplify right side
    47,874x = 5,341,124,889
  5. Step 5: Solve for x
    x = 5,341,124,889/47,874
  6. Step 6: Final answer
    x = 111,566.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.