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Finding the Third Proportional to 22,852 and 52,954

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Solution

The third proportional to 22,852 and 52,954 is: 122,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852 : 52,954 = 52,954 : x
  2. Step 2: Convert to fraction form
    22,852/52,954 = 52,954/x
  3. Step 3: Cross multiply
    22,852x = 52,954 × 52,954
  4. Step 4: Simplify right side
    22,852x = 2,804,126,116
  5. Step 5: Solve for x
    x = 2,804,126,116/22,852
  6. Step 6: Final answer
    x = 122,708.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.