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Finding the Third Proportional to 30,885 and 46,189

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Solution

The third proportional to 30,885 and 46,189 is: 69,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885 : 46,189 = 46,189 : x
  2. Step 2: Convert to fraction form
    30,885/46,189 = 46,189/x
  3. Step 3: Cross multiply
    30,885x = 46,189 × 46,189
  4. Step 4: Simplify right side
    30,885x = 2,133,423,721
  5. Step 5: Solve for x
    x = 2,133,423,721/30,885
  6. Step 6: Final answer
    x = 69,076.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.