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Finding the Third Proportional to 11,947 and 26,117

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Solution

The third proportional to 11,947 and 26,117 is: 57,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947 : 26,117 = 26,117 : x
  2. Step 2: Convert to fraction form
    11,947/26,117 = 26,117/x
  3. Step 3: Cross multiply
    11,947x = 26,117 × 26,117
  4. Step 4: Simplify right side
    11,947x = 682,097,689
  5. Step 5: Solve for x
    x = 682,097,689/11,947
  6. Step 6: Final answer
    x = 57,093.64

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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.