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Finding the Third Proportional to 30,564 and 41,236

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Solution

The third proportional to 30,564 and 41,236 is: 55,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 41,236 = 41,236 : x
  2. Step 2: Convert to fraction form
    30,564/41,236 = 41,236/x
  3. Step 3: Cross multiply
    30,564x = 41,236 × 41,236
  4. Step 4: Simplify right side
    30,564x = 1,700,407,696
  5. Step 5: Solve for x
    x = 1,700,407,696/30,564
  6. Step 6: Final answer
    x = 55,634.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.