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Finding the Third Proportional to 13,932 and 19,639.13

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Solution

The third proportional to 13,932 and 19,639.13 is: 27,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 19,639.13 = 19,639.13 : x
  2. Step 2: Convert to fraction form
    13,932/19,639.13 = 19,639.13/x
  3. Step 3: Cross multiply
    13,932x = 19,639.13 × 19,639.13
  4. Step 4: Simplify right side
    13,932x = 385,695,230.77
  5. Step 5: Solve for x
    x = 385,695,230.77/13,932
  6. Step 6: Final answer
    x = 27,684.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.