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Finding the Third Proportional to 16,969.69 and 37,284.94

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Solution

The third proportional to 16,969.69 and 37,284.94 is: 81,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.69 : 37,284.94 = 37,284.94 : x
  2. Step 2: Convert to fraction form
    16,969.69/37,284.94 = 37,284.94/x
  3. Step 3: Cross multiply
    16,969.69x = 37,284.94 × 37,284.94
  4. Step 4: Simplify right side
    16,969.69x = 1,390,166,564.38
  5. Step 5: Solve for x
    x = 1,390,166,564.38/16,969.69
  6. Step 6: Final answer
    x = 81,920.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.