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Finding the Third Proportional to 23,189.63 and 35,879.63

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Solution

The third proportional to 23,189.63 and 35,879.63 is: 55,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.63 : 35,879.63 = 35,879.63 : x
  2. Step 2: Convert to fraction form
    23,189.63/35,879.63 = 35,879.63/x
  3. Step 3: Cross multiply
    23,189.63x = 35,879.63 × 35,879.63
  4. Step 4: Simplify right side
    23,189.63x = 1,287,347,490.14
  5. Step 5: Solve for x
    x = 1,287,347,490.14/23,189.63
  6. Step 6: Final answer
    x = 55,513.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.