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Finding the Third Proportional to 47,427 and 100,695

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Solution

The third proportional to 47,427 and 100,695 is: 213,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,427 : 100,695 = 100,695 : x
  2. Step 2: Convert to fraction form
    47,427/100,695 = 100,695/x
  3. Step 3: Cross multiply
    47,427x = 100,695 × 100,695
  4. Step 4: Simplify right side
    47,427x = 10,139,483,025
  5. Step 5: Solve for x
    x = 10,139,483,025/47,427
  6. Step 6: Final answer
    x = 213,791.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.