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Finding the Third Proportional to 12,363.25 and 23,480.75

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Solution

The third proportional to 12,363.25 and 23,480.75 is: 44,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.25 : 23,480.75 = 23,480.75 : x
  2. Step 2: Convert to fraction form
    12,363.25/23,480.75 = 23,480.75/x
  3. Step 3: Cross multiply
    12,363.25x = 23,480.75 × 23,480.75
  4. Step 4: Simplify right side
    12,363.25x = 551,345,620.56
  5. Step 5: Solve for x
    x = 551,345,620.56/12,363.25
  6. Step 6: Final answer
    x = 44,595.52

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.