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Finding the Third Proportional to 9,077 and 13,615

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Solution

The third proportional to 9,077 and 13,615 is: 20,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077 : 13,615 = 13,615 : x
  2. Step 2: Convert to fraction form
    9,077/13,615 = 13,615/x
  3. Step 3: Cross multiply
    9,077x = 13,615 × 13,615
  4. Step 4: Simplify right side
    9,077x = 185,368,225
  5. Step 5: Solve for x
    x = 185,368,225/9,077
  6. Step 6: Final answer
    x = 20,421.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.