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Finding the Third Proportional to 30,760 and 48,190

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Solution

The third proportional to 30,760 and 48,190 is: 75,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760 : 48,190 = 48,190 : x
  2. Step 2: Convert to fraction form
    30,760/48,190 = 48,190/x
  3. Step 3: Cross multiply
    30,760x = 48,190 × 48,190
  4. Step 4: Simplify right side
    30,760x = 2,322,276,100
  5. Step 5: Solve for x
    x = 2,322,276,100/30,760
  6. Step 6: Final answer
    x = 75,496.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.