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Finding the Third Proportional to 20,885.34 and 45,904.22

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Solution

The third proportional to 20,885.34 and 45,904.22 is: 100,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.34 : 45,904.22 = 45,904.22 : x
  2. Step 2: Convert to fraction form
    20,885.34/45,904.22 = 45,904.22/x
  3. Step 3: Cross multiply
    20,885.34x = 45,904.22 × 45,904.22
  4. Step 4: Simplify right side
    20,885.34x = 2,107,197,299.05
  5. Step 5: Solve for x
    x = 2,107,197,299.05/20,885.34
  6. Step 6: Final answer
    x = 100,893.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.