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Finding the Third Proportional to 19,278 and 28,289.25

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Solution

The third proportional to 19,278 and 28,289.25 is: 41,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278 : 28,289.25 = 28,289.25 : x
  2. Step 2: Convert to fraction form
    19,278/28,289.25 = 28,289.25/x
  3. Step 3: Cross multiply
    19,278x = 28,289.25 × 28,289.25
  4. Step 4: Simplify right side
    19,278x = 800,281,665.56
  5. Step 5: Solve for x
    x = 800,281,665.56/19,278
  6. Step 6: Final answer
    x = 41,512.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.