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Finding the Third Proportional to 13,689 and 28,317

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Solution

The third proportional to 13,689 and 28,317 is: 58,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 28,317 = 28,317 : x
  2. Step 2: Convert to fraction form
    13,689/28,317 = 28,317/x
  3. Step 3: Cross multiply
    13,689x = 28,317 × 28,317
  4. Step 4: Simplify right side
    13,689x = 801,852,489
  5. Step 5: Solve for x
    x = 801,852,489/13,689
  6. Step 6: Final answer
    x = 58,576.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.