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Finding the Third Proportional to 37,725.75 and 55,176.19

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Solution

The third proportional to 37,725.75 and 55,176.19 is: 80,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 55,176.19 = 55,176.19 : x
  2. Step 2: Convert to fraction form
    37,725.75/55,176.19 = 55,176.19/x
  3. Step 3: Cross multiply
    37,725.75x = 55,176.19 × 55,176.19
  4. Step 4: Simplify right side
    37,725.75x = 3,044,411,667.04
  5. Step 5: Solve for x
    x = 3,044,411,667.04/37,725.75
  6. Step 6: Final answer
    x = 80,698.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.