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Finding the Third Proportional to 37,308.09 and 80,865.84

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Solution

The third proportional to 37,308.09 and 80,865.84 is: 175,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,308.09 : 80,865.84 = 80,865.84 : x
  2. Step 2: Convert to fraction form
    37,308.09/80,865.84 = 80,865.84/x
  3. Step 3: Cross multiply
    37,308.09x = 80,865.84 × 80,865.84
  4. Step 4: Simplify right side
    37,308.09x = 6,539,284,685.40
  5. Step 5: Solve for x
    x = 6,539,284,685.40/37,308.09
  6. Step 6: Final answer
    x = 175,277.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.