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Finding the Third Proportional to 13,097 and 26,950

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Solution

The third proportional to 13,097 and 26,950 is: 55,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097 : 26,950 = 26,950 : x
  2. Step 2: Convert to fraction form
    13,097/26,950 = 26,950/x
  3. Step 3: Cross multiply
    13,097x = 26,950 × 26,950
  4. Step 4: Simplify right side
    13,097x = 726,302,500
  5. Step 5: Solve for x
    x = 726,302,500/13,097
  6. Step 6: Final answer
    x = 55,455.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.