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Finding the Third Proportional to 37,725.75 and 77,091.75

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Solution

The third proportional to 37,725.75 and 77,091.75 is: 157,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 77,091.75 = 77,091.75 : x
  2. Step 2: Convert to fraction form
    37,725.75/77,091.75 = 77,091.75/x
  3. Step 3: Cross multiply
    37,725.75x = 77,091.75 × 77,091.75
  4. Step 4: Simplify right side
    37,725.75x = 5,943,137,918.06
  5. Step 5: Solve for x
    x = 5,943,137,918.06/37,725.75
  6. Step 6: Final answer
    x = 157,535.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.