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Finding the Third Proportional to 21,194 and 46,077

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Solution

The third proportional to 21,194 and 46,077 is: 100,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 46,077 = 46,077 : x
  2. Step 2: Convert to fraction form
    21,194/46,077 = 46,077/x
  3. Step 3: Cross multiply
    21,194x = 46,077 × 46,077
  4. Step 4: Simplify right side
    21,194x = 2,123,089,929
  5. Step 5: Solve for x
    x = 2,123,089,929/21,194
  6. Step 6: Final answer
    x = 100,174.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.