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Finding the Third Proportional to 16,849.69 and 40,069.69

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Solution

The third proportional to 16,849.69 and 40,069.69 is: 95,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849.69 : 40,069.69 = 40,069.69 : x
  2. Step 2: Convert to fraction form
    16,849.69/40,069.69 = 40,069.69/x
  3. Step 3: Cross multiply
    16,849.69x = 40,069.69 × 40,069.69
  4. Step 4: Simplify right side
    16,849.69x = 1,605,579,856.35
  5. Step 5: Solve for x
    x = 1,605,579,856.35/16,849.69
  6. Step 6: Final answer
    x = 95,288.41

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.