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Finding the Third Proportional to 46,702 and 71,021

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Solution

The third proportional to 46,702 and 71,021 is: 108,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702 : 71,021 = 71,021 : x
  2. Step 2: Convert to fraction form
    46,702/71,021 = 71,021/x
  3. Step 3: Cross multiply
    46,702x = 71,021 × 71,021
  4. Step 4: Simplify right side
    46,702x = 5,043,982,441
  5. Step 5: Solve for x
    x = 5,043,982,441/46,702
  6. Step 6: Final answer
    x = 108,003.56

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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.