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Finding the Third Proportional to 19,733 and 30,670

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Solution

The third proportional to 19,733 and 30,670 is: 47,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733 : 30,670 = 30,670 : x
  2. Step 2: Convert to fraction form
    19,733/30,670 = 30,670/x
  3. Step 3: Cross multiply
    19,733x = 30,670 × 30,670
  4. Step 4: Simplify right side
    19,733x = 940,648,900
  5. Step 5: Solve for x
    x = 940,648,900/19,733
  6. Step 6: Final answer
    x = 47,668.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.