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Finding the Third Proportional to 8,615 and 18,277

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Solution

The third proportional to 8,615 and 18,277 is: 38,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615 : 18,277 = 18,277 : x
  2. Step 2: Convert to fraction form
    8,615/18,277 = 18,277/x
  3. Step 3: Cross multiply
    8,615x = 18,277 × 18,277
  4. Step 4: Simplify right side
    8,615x = 334,048,729
  5. Step 5: Solve for x
    x = 334,048,729/8,615
  6. Step 6: Final answer
    x = 38,775.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.