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Finding the Third Proportional to 19,901 and 30,797

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Solution

The third proportional to 19,901 and 30,797 is: 47,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901 : 30,797 = 30,797 : x
  2. Step 2: Convert to fraction form
    19,901/30,797 = 30,797/x
  3. Step 3: Cross multiply
    19,901x = 30,797 × 30,797
  4. Step 4: Simplify right side
    19,901x = 948,455,209
  5. Step 5: Solve for x
    x = 948,455,209/19,901
  6. Step 6: Final answer
    x = 47,658.67

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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.