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Finding the Third Proportional to 37,315.69 and 80,406.42

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Solution

The third proportional to 37,315.69 and 80,406.42 is: 173,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.69 : 80,406.42 = 80,406.42 : x
  2. Step 2: Convert to fraction form
    37,315.69/80,406.42 = 80,406.42/x
  3. Step 3: Cross multiply
    37,315.69x = 80,406.42 × 80,406.42
  4. Step 4: Simplify right side
    37,315.69x = 6,465,192,678.74
  5. Step 5: Solve for x
    x = 6,465,192,678.74/37,315.69
  6. Step 6: Final answer
    x = 173,256.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.