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Finding the Third Proportional to 37,725.75 and 79,948.69

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Solution

The third proportional to 37,725.75 and 79,948.69 is: 169,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 79,948.69 = 79,948.69 : x
  2. Step 2: Convert to fraction form
    37,725.75/79,948.69 = 79,948.69/x
  3. Step 3: Cross multiply
    37,725.75x = 79,948.69 × 79,948.69
  4. Step 4: Simplify right side
    37,725.75x = 6,391,792,632.97
  5. Step 5: Solve for x
    x = 6,391,792,632.97/37,725.75
  6. Step 6: Final answer
    x = 169,427.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.