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Finding the Third Proportional to 25,206 and 38,094

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Solution

The third proportional to 25,206 and 38,094 is: 57,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206 : 38,094 = 38,094 : x
  2. Step 2: Convert to fraction form
    25,206/38,094 = 38,094/x
  3. Step 3: Cross multiply
    25,206x = 38,094 × 38,094
  4. Step 4: Simplify right side
    25,206x = 1,451,152,836
  5. Step 5: Solve for x
    x = 1,451,152,836/25,206
  6. Step 6: Final answer
    x = 57,571.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.