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Finding the Third Proportional to 41,478 and 93,894

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Solution

The third proportional to 41,478 and 93,894 is: 212,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,478 : 93,894 = 93,894 : x
  2. Step 2: Convert to fraction form
    41,478/93,894 = 93,894/x
  3. Step 3: Cross multiply
    41,478x = 93,894 × 93,894
  4. Step 4: Simplify right side
    41,478x = 8,816,083,236
  5. Step 5: Solve for x
    x = 8,816,083,236/41,478
  6. Step 6: Final answer
    x = 212,548.42

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.