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Finding the Third Proportional to 13,960.69 and 20,666.81

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Solution

The third proportional to 13,960.69 and 20,666.81 is: 30,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.69 : 20,666.81 = 20,666.81 : x
  2. Step 2: Convert to fraction form
    13,960.69/20,666.81 = 20,666.81/x
  3. Step 3: Cross multiply
    13,960.69x = 20,666.81 × 20,666.81
  4. Step 4: Simplify right side
    13,960.69x = 427,117,138.91
  5. Step 5: Solve for x
    x = 427,117,138.91/13,960.69
  6. Step 6: Final answer
    x = 30,594.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.