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Finding the Third Proportional to 28,356.75 and 34,158.75

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Solution

The third proportional to 28,356.75 and 34,158.75 is: 41,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,356.75 : 34,158.75 = 34,158.75 : x
  2. Step 2: Convert to fraction form
    28,356.75/34,158.75 = 34,158.75/x
  3. Step 3: Cross multiply
    28,356.75x = 34,158.75 × 34,158.75
  4. Step 4: Simplify right side
    28,356.75x = 1,166,820,201.56
  5. Step 5: Solve for x
    x = 1,166,820,201.56/28,356.75
  6. Step 6: Final answer
    x = 41,147.88

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.