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Finding the Third Proportional to 20,822.06 and 30,499.03

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Solution

The third proportional to 20,822.06 and 30,499.03 is: 44,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.06 : 30,499.03 = 30,499.03 : x
  2. Step 2: Convert to fraction form
    20,822.06/30,499.03 = 30,499.03/x
  3. Step 3: Cross multiply
    20,822.06x = 30,499.03 × 30,499.03
  4. Step 4: Simplify right side
    20,822.06x = 930,190,907.19
  5. Step 5: Solve for x
    x = 930,190,907.19/20,822.06
  6. Step 6: Final answer
    x = 44,673.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.