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Finding the Third Proportional to 22,372 and 49,064

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Solution

The third proportional to 22,372 and 49,064 is: 107,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372 : 49,064 = 49,064 : x
  2. Step 2: Convert to fraction form
    22,372/49,064 = 49,064/x
  3. Step 3: Cross multiply
    22,372x = 49,064 × 49,064
  4. Step 4: Simplify right side
    22,372x = 2,407,276,096
  5. Step 5: Solve for x
    x = 2,407,276,096/22,372
  6. Step 6: Final answer
    x = 107,602.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.