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Finding the Third Proportional to 19,976 and 30,329

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Solution

The third proportional to 19,976 and 30,329 is: 46,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976 : 30,329 = 30,329 : x
  2. Step 2: Convert to fraction form
    19,976/30,329 = 30,329/x
  3. Step 3: Cross multiply
    19,976x = 30,329 × 30,329
  4. Step 4: Simplify right side
    19,976x = 919,848,241
  5. Step 5: Solve for x
    x = 919,848,241/19,976
  6. Step 6: Final answer
    x = 46,047.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.