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Finding the Third Proportional to 25,187 and 52,965

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Solution

The third proportional to 25,187 and 52,965 is: 111,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187 : 52,965 = 52,965 : x
  2. Step 2: Convert to fraction form
    25,187/52,965 = 52,965/x
  3. Step 3: Cross multiply
    25,187x = 52,965 × 52,965
  4. Step 4: Simplify right side
    25,187x = 2,805,291,225
  5. Step 5: Solve for x
    x = 2,805,291,225/25,187
  6. Step 6: Final answer
    x = 111,378.54

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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.