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Finding the Third Proportional to 13,960.69 and 30,378.38

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Solution

The third proportional to 13,960.69 and 30,378.38 is: 66,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.69 : 30,378.38 = 30,378.38 : x
  2. Step 2: Convert to fraction form
    13,960.69/30,378.38 = 30,378.38/x
  3. Step 3: Cross multiply
    13,960.69x = 30,378.38 × 30,378.38
  4. Step 4: Simplify right side
    13,960.69x = 922,845,667.64
  5. Step 5: Solve for x
    x = 922,845,667.64/13,960.69
  6. Step 6: Final answer
    x = 66,103.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.