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Finding the Third Proportional to 23,085.84 and 50,550.56

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Solution

The third proportional to 23,085.84 and 50,550.56 is: 110,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.84 : 50,550.56 = 50,550.56 : x
  2. Step 2: Convert to fraction form
    23,085.84/50,550.56 = 50,550.56/x
  3. Step 3: Cross multiply
    23,085.84x = 50,550.56 × 50,550.56
  4. Step 4: Simplify right side
    23,085.84x = 2,555,359,369.07
  5. Step 5: Solve for x
    x = 2,555,359,369.07/23,085.84
  6. Step 6: Final answer
    x = 110,689.45

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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.