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Finding the Third Proportional to 15,769.69 and 33,103.69

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Solution

The third proportional to 15,769.69 and 33,103.69 is: 69,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.69 : 33,103.69 = 33,103.69 : x
  2. Step 2: Convert to fraction form
    15,769.69/33,103.69 = 33,103.69/x
  3. Step 3: Cross multiply
    15,769.69x = 33,103.69 × 33,103.69
  4. Step 4: Simplify right side
    15,769.69x = 1,095,854,126.10
  5. Step 5: Solve for x
    x = 1,095,854,126.10/15,769.69
  6. Step 6: Final answer
    x = 69,491.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.