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Finding the Third Proportional to 20,487 and 44,214

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Solution

The third proportional to 20,487 and 44,214 is: 95,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487 : 44,214 = 44,214 : x
  2. Step 2: Convert to fraction form
    20,487/44,214 = 44,214/x
  3. Step 3: Cross multiply
    20,487x = 44,214 × 44,214
  4. Step 4: Simplify right side
    20,487x = 1,954,877,796
  5. Step 5: Solve for x
    x = 1,954,877,796/20,487
  6. Step 6: Final answer
    x = 95,420.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.