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Finding the Third Proportional to 37,369.69 and 79,584.19

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Solution

The third proportional to 37,369.69 and 79,584.19 is: 169,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,369.69 : 79,584.19 = 79,584.19 : x
  2. Step 2: Convert to fraction form
    37,369.69/79,584.19 = 79,584.19/x
  3. Step 3: Cross multiply
    37,369.69x = 79,584.19 × 79,584.19
  4. Step 4: Simplify right side
    37,369.69x = 6,333,642,900.04
  5. Step 5: Solve for x
    x = 6,333,642,900.04/37,369.69
  6. Step 6: Final answer
    x = 169,486.11

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.