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Finding the Third Proportional to 20,634.25 and 45,212.25

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Solution

The third proportional to 20,634.25 and 45,212.25 is: 99,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.25 : 45,212.25 = 45,212.25 : x
  2. Step 2: Convert to fraction form
    20,634.25/45,212.25 = 45,212.25/x
  3. Step 3: Cross multiply
    20,634.25x = 45,212.25 × 45,212.25
  4. Step 4: Simplify right side
    20,634.25x = 2,044,147,550.06
  5. Step 5: Solve for x
    x = 2,044,147,550.06/20,634.25
  6. Step 6: Final answer
    x = 99,065.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.