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Finding the Third Proportional to 9,026 and 11,615

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Solution

The third proportional to 9,026 and 11,615 is: 14,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026 : 11,615 = 11,615 : x
  2. Step 2: Convert to fraction form
    9,026/11,615 = 11,615/x
  3. Step 3: Cross multiply
    9,026x = 11,615 × 11,615
  4. Step 4: Simplify right side
    9,026x = 134,908,225
  5. Step 5: Solve for x
    x = 134,908,225/9,026
  6. Step 6: Final answer
    x = 14,946.62

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.