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Finding the Third Proportional to 23,097 and 49,890

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Solution

The third proportional to 23,097 and 49,890 is: 107,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097 : 49,890 = 49,890 : x
  2. Step 2: Convert to fraction form
    23,097/49,890 = 49,890/x
  3. Step 3: Cross multiply
    23,097x = 49,890 × 49,890
  4. Step 4: Simplify right side
    23,097x = 2,489,012,100
  5. Step 5: Solve for x
    x = 2,489,012,100/23,097
  6. Step 6: Final answer
    x = 107,763.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.