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Finding the Third Proportional to 46,841 and 71,427

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Solution

The third proportional to 46,841 and 71,427 is: 108,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,841 : 71,427 = 71,427 : x
  2. Step 2: Convert to fraction form
    46,841/71,427 = 71,427/x
  3. Step 3: Cross multiply
    46,841x = 71,427 × 71,427
  4. Step 4: Simplify right side
    46,841x = 5,101,816,329
  5. Step 5: Solve for x
    x = 5,101,816,329/46,841
  6. Step 6: Final answer
    x = 108,917.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.