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Finding the Third Proportional to 25,072 and 52,961

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Solution

The third proportional to 25,072 and 52,961 is: 111,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072 : 52,961 = 52,961 : x
  2. Step 2: Convert to fraction form
    25,072/52,961 = 52,961/x
  3. Step 3: Cross multiply
    25,072x = 52,961 × 52,961
  4. Step 4: Simplify right side
    25,072x = 2,804,867,521
  5. Step 5: Solve for x
    x = 2,804,867,521/25,072
  6. Step 6: Final answer
    x = 111,872.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.