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Finding the Third Proportional to 37,705.50 and 102,579.75

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Solution

The third proportional to 37,705.50 and 102,579.75 is: 279,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,705.50 : 102,579.75 = 102,579.75 : x
  2. Step 2: Convert to fraction form
    37,705.50/102,579.75 = 102,579.75/x
  3. Step 3: Cross multiply
    37,705.50x = 102,579.75 × 102,579.75
  4. Step 4: Simplify right side
    37,705.50x = 10,522,605,110.06
  5. Step 5: Solve for x
    x = 10,522,605,110.06/37,705.50
  6. Step 6: Final answer
    x = 279,073.48

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.