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Finding the Third Proportional to 19,094 and 41,953

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Solution

The third proportional to 19,094 and 41,953 is: 92,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094 : 41,953 = 41,953 : x
  2. Step 2: Convert to fraction form
    19,094/41,953 = 41,953/x
  3. Step 3: Cross multiply
    19,094x = 41,953 × 41,953
  4. Step 4: Simplify right side
    19,094x = 1,760,054,209
  5. Step 5: Solve for x
    x = 1,760,054,209/19,094
  6. Step 6: Final answer
    x = 92,178.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.