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Finding the Third Proportional to 38,284 and 54,806

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Solution

The third proportional to 38,284 and 54,806 is: 78,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284 : 54,806 = 54,806 : x
  2. Step 2: Convert to fraction form
    38,284/54,806 = 54,806/x
  3. Step 3: Cross multiply
    38,284x = 54,806 × 54,806
  4. Step 4: Simplify right side
    38,284x = 3,003,697,636
  5. Step 5: Solve for x
    x = 3,003,697,636/38,284
  6. Step 6: Final answer
    x = 78,458.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.