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Finding the Third Proportional to 4,615 and 10,094

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Solution

The third proportional to 4,615 and 10,094 is: 22,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615 : 10,094 = 10,094 : x
  2. Step 2: Convert to fraction form
    4,615/10,094 = 10,094/x
  3. Step 3: Cross multiply
    4,615x = 10,094 × 10,094
  4. Step 4: Simplify right side
    4,615x = 101,888,836
  5. Step 5: Solve for x
    x = 101,888,836/4,615
  6. Step 6: Final answer
    x = 22,077.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.