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Finding the Third Proportional to 23,210 and 49,094

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Solution

The third proportional to 23,210 and 49,094 is: 103,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210 : 49,094 = 49,094 : x
  2. Step 2: Convert to fraction form
    23,210/49,094 = 49,094/x
  3. Step 3: Cross multiply
    23,210x = 49,094 × 49,094
  4. Step 4: Simplify right side
    23,210x = 2,410,220,836
  5. Step 5: Solve for x
    x = 2,410,220,836/23,210
  6. Step 6: Final answer
    x = 103,844.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.