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Finding the Third Proportional to 13,615 and 21,933.50

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Solution

The third proportional to 13,615 and 21,933.50 is: 35,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615 : 21,933.50 = 21,933.50 : x
  2. Step 2: Convert to fraction form
    13,615/21,933.50 = 21,933.50/x
  3. Step 3: Cross multiply
    13,615x = 21,933.50 × 21,933.50
  4. Step 4: Simplify right side
    13,615x = 481,078,422.25
  5. Step 5: Solve for x
    x = 481,078,422.25/13,615
  6. Step 6: Final answer
    x = 35,334.44

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.