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Finding the Third Proportional to 20,443.50 and 30,972

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Solution

The third proportional to 20,443.50 and 30,972 is: 46,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.50 : 30,972 = 30,972 : x
  2. Step 2: Convert to fraction form
    20,443.50/30,972 = 30,972/x
  3. Step 3: Cross multiply
    20,443.50x = 30,972 × 30,972
  4. Step 4: Simplify right side
    20,443.50x = 959,264,784
  5. Step 5: Solve for x
    x = 959,264,784/20,443.50
  6. Step 6: Final answer
    x = 46,922.73

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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.