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Finding the Third Proportional to 12,644.25 and 19,007.25

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Solution

The third proportional to 12,644.25 and 19,007.25 is: 28,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.25 : 19,007.25 = 19,007.25 : x
  2. Step 2: Convert to fraction form
    12,644.25/19,007.25 = 19,007.25/x
  3. Step 3: Cross multiply
    12,644.25x = 19,007.25 × 19,007.25
  4. Step 4: Simplify right side
    12,644.25x = 361,275,552.56
  5. Step 5: Solve for x
    x = 361,275,552.56/12,644.25
  6. Step 6: Final answer
    x = 28,572.32

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