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Finding the Third Proportional to 12,763.13 and 18,150.75

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Solution

The third proportional to 12,763.13 and 18,150.75 is: 25,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.13 : 18,150.75 = 18,150.75 : x
  2. Step 2: Convert to fraction form
    12,763.13/18,150.75 = 18,150.75/x
  3. Step 3: Cross multiply
    12,763.13x = 18,150.75 × 18,150.75
  4. Step 4: Simplify right side
    12,763.13x = 329,449,725.56
  5. Step 5: Solve for x
    x = 329,449,725.56/12,763.13
  6. Step 6: Final answer
    x = 25,812.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.