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Finding the Third Proportional to 30,500 and 46,939

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Solution

The third proportional to 30,500 and 46,939 is: 72,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500 : 46,939 = 46,939 : x
  2. Step 2: Convert to fraction form
    30,500/46,939 = 46,939/x
  3. Step 3: Cross multiply
    30,500x = 46,939 × 46,939
  4. Step 4: Simplify right side
    30,500x = 2,203,269,721
  5. Step 5: Solve for x
    x = 2,203,269,721/30,500
  6. Step 6: Final answer
    x = 72,238.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.