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Finding the Third Proportional to 47,986 and 67,101

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Solution

The third proportional to 47,986 and 67,101 is: 93,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,986 : 67,101 = 67,101 : x
  2. Step 2: Convert to fraction form
    47,986/67,101 = 67,101/x
  3. Step 3: Cross multiply
    47,986x = 67,101 × 67,101
  4. Step 4: Simplify right side
    47,986x = 4,502,544,201
  5. Step 5: Solve for x
    x = 4,502,544,201/47,986
  6. Step 6: Final answer
    x = 93,830.37

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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.