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Finding the Third Proportional to 30,998 and 47,550

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Solution

The third proportional to 30,998 and 47,550 is: 72,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998 : 47,550 = 47,550 : x
  2. Step 2: Convert to fraction form
    30,998/47,550 = 47,550/x
  3. Step 3: Cross multiply
    30,998x = 47,550 × 47,550
  4. Step 4: Simplify right side
    30,998x = 2,261,002,500
  5. Step 5: Solve for x
    x = 2,261,002,500/30,998
  6. Step 6: Final answer
    x = 72,940.27

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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.