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Finding the Third Proportional to 20,590.45 and 30,883.78

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Solution

The third proportional to 20,590.45 and 30,883.78 is: 46,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.45 : 30,883.78 = 30,883.78 : x
  2. Step 2: Convert to fraction form
    20,590.45/30,883.78 = 30,883.78/x
  3. Step 3: Cross multiply
    20,590.45x = 30,883.78 × 30,883.78
  4. Step 4: Simplify right side
    20,590.45x = 953,807,944.30
  5. Step 5: Solve for x
    x = 953,807,944.30/20,590.45
  6. Step 6: Final answer
    x = 46,322.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.