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Finding the Third Proportional to 19,838.25 and 41,320.50

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Solution

The third proportional to 19,838.25 and 41,320.50 is: 86,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.25 : 41,320.50 = 41,320.50 : x
  2. Step 2: Convert to fraction form
    19,838.25/41,320.50 = 41,320.50/x
  3. Step 3: Cross multiply
    19,838.25x = 41,320.50 × 41,320.50
  4. Step 4: Simplify right side
    19,838.25x = 1,707,383,720.25
  5. Step 5: Solve for x
    x = 1,707,383,720.25/19,838.25
  6. Step 6: Final answer
    x = 86,065.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.