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Finding the Third Proportional to 38,259.94 and 82,667.63

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Solution

The third proportional to 38,259.94 and 82,667.63 is: 178,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,259.94 : 82,667.63 = 82,667.63 : x
  2. Step 2: Convert to fraction form
    38,259.94/82,667.63 = 82,667.63/x
  3. Step 3: Cross multiply
    38,259.94x = 82,667.63 × 82,667.63
  4. Step 4: Simplify right side
    38,259.94x = 6,833,936,223.14
  5. Step 5: Solve for x
    x = 6,833,936,223.14/38,259.94
  6. Step 6: Final answer
    x = 178,618.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.