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Finding the Third Proportional to 25,058 and 52,546

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Solution

The third proportional to 25,058 and 52,546 is: 110,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058 : 52,546 = 52,546 : x
  2. Step 2: Convert to fraction form
    25,058/52,546 = 52,546/x
  3. Step 3: Cross multiply
    25,058x = 52,546 × 52,546
  4. Step 4: Simplify right side
    25,058x = 2,761,082,116
  5. Step 5: Solve for x
    x = 2,761,082,116/25,058
  6. Step 6: Final answer
    x = 110,187.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.