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Finding the Third Proportional to 38,213 and 61,906

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Solution

The third proportional to 38,213 and 61,906 is: 100,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213 : 61,906 = 61,906 : x
  2. Step 2: Convert to fraction form
    38,213/61,906 = 61,906/x
  3. Step 3: Cross multiply
    38,213x = 61,906 × 61,906
  4. Step 4: Simplify right side
    38,213x = 3,832,352,836
  5. Step 5: Solve for x
    x = 3,832,352,836/38,213
  6. Step 6: Final answer
    x = 100,289.24

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.