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Finding the Third Proportional to 10,615 and 23,072.50

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Solution

The third proportional to 10,615 and 23,072.50 is: 50,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615 : 23,072.50 = 23,072.50 : x
  2. Step 2: Convert to fraction form
    10,615/23,072.50 = 23,072.50/x
  3. Step 3: Cross multiply
    10,615x = 23,072.50 × 23,072.50
  4. Step 4: Simplify right side
    10,615x = 532,340,256.25
  5. Step 5: Solve for x
    x = 532,340,256.25/10,615
  6. Step 6: Final answer
    x = 50,149.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.