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Finding the Third Proportional to 34,011 and 73,670

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Solution

The third proportional to 34,011 and 73,670 is: 159,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011 : 73,670 = 73,670 : x
  2. Step 2: Convert to fraction form
    34,011/73,670 = 73,670/x
  3. Step 3: Cross multiply
    34,011x = 73,670 × 73,670
  4. Step 4: Simplify right side
    34,011x = 5,427,268,900
  5. Step 5: Solve for x
    x = 5,427,268,900/34,011
  6. Step 6: Final answer
    x = 159,573.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.