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Finding the Third Proportional to 19,284.75 and 23,280.75

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Solution

The third proportional to 19,284.75 and 23,280.75 is: 28,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284.75 : 23,280.75 = 23,280.75 : x
  2. Step 2: Convert to fraction form
    19,284.75/23,280.75 = 23,280.75/x
  3. Step 3: Cross multiply
    19,284.75x = 23,280.75 × 23,280.75
  4. Step 4: Simplify right side
    19,284.75x = 541,993,320.56
  5. Step 5: Solve for x
    x = 541,993,320.56/19,284.75
  6. Step 6: Final answer
    x = 28,104.76

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.