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Finding the Third Proportional to 28,615 and 59,846

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Solution

The third proportional to 28,615 and 59,846 is: 125,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,615 : 59,846 = 59,846 : x
  2. Step 2: Convert to fraction form
    28,615/59,846 = 59,846/x
  3. Step 3: Cross multiply
    28,615x = 59,846 × 59,846
  4. Step 4: Simplify right side
    28,615x = 3,581,543,716
  5. Step 5: Solve for x
    x = 3,581,543,716/28,615
  6. Step 6: Final answer
    x = 125,163.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.