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Finding the Third Proportional to 30,974 and 47,391

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Solution

The third proportional to 30,974 and 47,391 is: 72,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974 : 47,391 = 47,391 : x
  2. Step 2: Convert to fraction form
    30,974/47,391 = 47,391/x
  3. Step 3: Cross multiply
    30,974x = 47,391 × 47,391
  4. Step 4: Simplify right side
    30,974x = 2,245,906,881
  5. Step 5: Solve for x
    x = 2,245,906,881/30,974
  6. Step 6: Final answer
    x = 72,509.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.