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Finding the Third Proportional to 30,511.69 and 49,412.53

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Solution

The third proportional to 30,511.69 and 49,412.53 is: 80,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.69 : 49,412.53 = 49,412.53 : x
  2. Step 2: Convert to fraction form
    30,511.69/49,412.53 = 49,412.53/x
  3. Step 3: Cross multiply
    30,511.69x = 49,412.53 × 49,412.53
  4. Step 4: Simplify right side
    30,511.69x = 2,441,598,244.53
  5. Step 5: Solve for x
    x = 2,441,598,244.53/30,511.69
  6. Step 6: Final answer
    x = 80,021.74

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.