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Finding the Third Proportional to 23,868 and 30,721.50

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Solution

The third proportional to 23,868 and 30,721.50 is: 39,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868 : 30,721.50 = 30,721.50 : x
  2. Step 2: Convert to fraction form
    23,868/30,721.50 = 30,721.50/x
  3. Step 3: Cross multiply
    23,868x = 30,721.50 × 30,721.50
  4. Step 4: Simplify right side
    23,868x = 943,810,562.25
  5. Step 5: Solve for x
    x = 943,810,562.25/23,868
  6. Step 6: Final answer
    x = 39,542.93

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.