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Finding the Third Proportional to 37,893.94 and 82,515.45

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Solution

The third proportional to 37,893.94 and 82,515.45 is: 179,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,893.94 : 82,515.45 = 82,515.45 : x
  2. Step 2: Convert to fraction form
    37,893.94/82,515.45 = 82,515.45/x
  3. Step 3: Cross multiply
    37,893.94x = 82,515.45 × 82,515.45
  4. Step 4: Simplify right side
    37,893.94x = 6,808,798,715.12
  5. Step 5: Solve for x
    x = 6,808,798,715.12/37,893.94
  6. Step 6: Final answer
    x = 179,680.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.