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Finding the Third Proportional to 19,758.94 and 43,669.13

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Solution

The third proportional to 19,758.94 and 43,669.13 is: 96,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.94 : 43,669.13 = 43,669.13 : x
  2. Step 2: Convert to fraction form
    19,758.94/43,669.13 = 43,669.13/x
  3. Step 3: Cross multiply
    19,758.94x = 43,669.13 × 43,669.13
  4. Step 4: Simplify right side
    19,758.94x = 1,906,992,478.27
  5. Step 5: Solve for x
    x = 1,906,992,478.27/19,758.94
  6. Step 6: Final answer
    x = 96,512.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.