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Finding the Third Proportional to 25,170 and 35,276

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Solution

The third proportional to 25,170 and 35,276 is: 49,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170 : 35,276 = 35,276 : x
  2. Step 2: Convert to fraction form
    25,170/35,276 = 35,276/x
  3. Step 3: Cross multiply
    25,170x = 35,276 × 35,276
  4. Step 4: Simplify right side
    25,170x = 1,244,396,176
  5. Step 5: Solve for x
    x = 1,244,396,176/25,170
  6. Step 6: Final answer
    x = 49,439.66

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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.