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Finding the Third Proportional to 20,446.17 and 29,997.21

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Solution

The third proportional to 20,446.17 and 29,997.21 is: 44,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.17 : 29,997.21 = 29,997.21 : x
  2. Step 2: Convert to fraction form
    20,446.17/29,997.21 = 29,997.21/x
  3. Step 3: Cross multiply
    20,446.17x = 29,997.21 × 29,997.21
  4. Step 4: Simplify right side
    20,446.17x = 899,832,664.03
  5. Step 5: Solve for x
    x = 899,832,664.03/20,446.17
  6. Step 6: Final answer
    x = 44,009.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.