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Finding the Third Proportional to 30,886 and 60,236

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Solution

The third proportional to 30,886 and 60,236 is: 117,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886 : 60,236 = 60,236 : x
  2. Step 2: Convert to fraction form
    30,886/60,236 = 60,236/x
  3. Step 3: Cross multiply
    30,886x = 60,236 × 60,236
  4. Step 4: Simplify right side
    30,886x = 3,628,375,696
  5. Step 5: Solve for x
    x = 3,628,375,696/30,886
  6. Step 6: Final answer
    x = 117,476.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.