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Finding the Third Proportional to 25,168 and 35,273

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Solution

The third proportional to 25,168 and 35,273 is: 49,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168 : 35,273 = 35,273 : x
  2. Step 2: Convert to fraction form
    25,168/35,273 = 35,273/x
  3. Step 3: Cross multiply
    25,168x = 35,273 × 35,273
  4. Step 4: Simplify right side
    25,168x = 1,244,184,529
  5. Step 5: Solve for x
    x = 1,244,184,529/25,168
  6. Step 6: Final answer
    x = 49,435.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.