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Finding the Third Proportional to 20,906.50 and 45,220.75

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Solution

The third proportional to 20,906.50 and 45,220.75 is: 97,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.50 : 45,220.75 = 45,220.75 : x
  2. Step 2: Convert to fraction form
    20,906.50/45,220.75 = 45,220.75/x
  3. Step 3: Cross multiply
    20,906.50x = 45,220.75 × 45,220.75
  4. Step 4: Simplify right side
    20,906.50x = 2,044,916,230.56
  5. Step 5: Solve for x
    x = 2,044,916,230.56/20,906.50
  6. Step 6: Final answer
    x = 97,812.46

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Why These Related Problems?

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