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Finding the Third Proportional to 30,164 and 41,368

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Solution

The third proportional to 30,164 and 41,368 is: 56,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164 : 41,368 = 41,368 : x
  2. Step 2: Convert to fraction form
    30,164/41,368 = 41,368/x
  3. Step 3: Cross multiply
    30,164x = 41,368 × 41,368
  4. Step 4: Simplify right side
    30,164x = 1,711,311,424
  5. Step 5: Solve for x
    x = 1,711,311,424/30,164
  6. Step 6: Final answer
    x = 56,733.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.