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Finding the Third Proportional to 19,945 and 30,970

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Solution

The third proportional to 19,945 and 30,970 is: 48,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,945 : 30,970 = 30,970 : x
  2. Step 2: Convert to fraction form
    19,945/30,970 = 30,970/x
  3. Step 3: Cross multiply
    19,945x = 30,970 × 30,970
  4. Step 4: Simplify right side
    19,945x = 959,140,900
  5. Step 5: Solve for x
    x = 959,140,900/19,945
  6. Step 6: Final answer
    x = 48,089.29

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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.