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Finding the Third Proportional to 19,298.25 and 28,896.75

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Solution

The third proportional to 19,298.25 and 28,896.75 is: 43,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.25 : 28,896.75 = 28,896.75 : x
  2. Step 2: Convert to fraction form
    19,298.25/28,896.75 = 28,896.75/x
  3. Step 3: Cross multiply
    19,298.25x = 28,896.75 × 28,896.75
  4. Step 4: Simplify right side
    19,298.25x = 835,022,160.56
  5. Step 5: Solve for x
    x = 835,022,160.56/19,298.25
  6. Step 6: Final answer
    x = 43,269.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.