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Finding the Third Proportional to 47,676 and 91,014

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Solution

The third proportional to 47,676 and 91,014 is: 173,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676 : 91,014 = 91,014 : x
  2. Step 2: Convert to fraction form
    47,676/91,014 = 91,014/x
  3. Step 3: Cross multiply
    47,676x = 91,014 × 91,014
  4. Step 4: Simplify right side
    47,676x = 8,283,548,196
  5. Step 5: Solve for x
    x = 8,283,548,196/47,676
  6. Step 6: Final answer
    x = 173,746.71

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.