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Finding the Third Proportional to 33,615 and 70,670

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Solution

The third proportional to 33,615 and 70,670 is: 148,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615 : 70,670 = 70,670 : x
  2. Step 2: Convert to fraction form
    33,615/70,670 = 70,670/x
  3. Step 3: Cross multiply
    33,615x = 70,670 × 70,670
  4. Step 4: Simplify right side
    33,615x = 4,994,248,900
  5. Step 5: Solve for x
    x = 4,994,248,900/33,615
  6. Step 6: Final answer
    x = 148,572.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.