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Finding the Third Proportional to 19,694.77 and 43,216.22

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Solution

The third proportional to 19,694.77 and 43,216.22 is: 94,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.77 : 43,216.22 = 43,216.22 : x
  2. Step 2: Convert to fraction form
    19,694.77/43,216.22 = 43,216.22/x
  3. Step 3: Cross multiply
    19,694.77x = 43,216.22 × 43,216.22
  4. Step 4: Simplify right side
    19,694.77x = 1,867,641,563.05
  5. Step 5: Solve for x
    x = 1,867,641,563.05/19,694.77
  6. Step 6: Final answer
    x = 94,829.34

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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.