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Finding the Third Proportional to 23,189.63 and 41,914.13

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Solution

The third proportional to 23,189.63 and 41,914.13 is: 75,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.63 : 41,914.13 = 41,914.13 : x
  2. Step 2: Convert to fraction form
    23,189.63/41,914.13 = 41,914.13/x
  3. Step 3: Cross multiply
    23,189.63x = 41,914.13 × 41,914.13
  4. Step 4: Simplify right side
    23,189.63x = 1,756,793,874.52
  5. Step 5: Solve for x
    x = 1,756,793,874.52/23,189.63
  6. Step 6: Final answer
    x = 75,757.75

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.