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Finding the Third Proportional to 17,139.09 and 19,629.84

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Solution

The third proportional to 17,139.09 and 19,629.84 is: 22,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,139.09 : 19,629.84 = 19,629.84 : x
  2. Step 2: Convert to fraction form
    17,139.09/19,629.84 = 19,629.84/x
  3. Step 3: Cross multiply
    17,139.09x = 19,629.84 × 19,629.84
  4. Step 4: Simplify right side
    17,139.09x = 385,330,765.65
  5. Step 5: Solve for x
    x = 385,330,765.65/17,139.09
  6. Step 6: Final answer
    x = 22,482.56

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.