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Finding the Third Proportional to 19,725.75 and 43,017.75

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Solution

The third proportional to 19,725.75 and 43,017.75 is: 93,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.75 : 43,017.75 = 43,017.75 : x
  2. Step 2: Convert to fraction form
    19,725.75/43,017.75 = 43,017.75/x
  3. Step 3: Cross multiply
    19,725.75x = 43,017.75 × 43,017.75
  4. Step 4: Simplify right side
    19,725.75x = 1,850,526,815.06
  5. Step 5: Solve for x
    x = 1,850,526,815.06/19,725.75
  6. Step 6: Final answer
    x = 93,812.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.