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Finding the Third Proportional to 20,284 and 43,586

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Solution

The third proportional to 20,284 and 43,586 is: 93,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 43,586 = 43,586 : x
  2. Step 2: Convert to fraction form
    20,284/43,586 = 43,586/x
  3. Step 3: Cross multiply
    20,284x = 43,586 × 43,586
  4. Step 4: Simplify right side
    20,284x = 1,899,739,396
  5. Step 5: Solve for x
    x = 1,899,739,396/20,284
  6. Step 6: Final answer
    x = 93,657.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.