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Finding the Third Proportional to 30,956 and 73,820

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Solution

The third proportional to 30,956 and 73,820 is: 176,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956 : 73,820 = 73,820 : x
  2. Step 2: Convert to fraction form
    30,956/73,820 = 73,820/x
  3. Step 3: Cross multiply
    30,956x = 73,820 × 73,820
  4. Step 4: Simplify right side
    30,956x = 5,449,392,400
  5. Step 5: Solve for x
    x = 5,449,392,400/30,956
  6. Step 6: Final answer
    x = 176,036.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.