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Finding the Third Proportional to 13,439.25 and 19,637.44

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Solution

The third proportional to 13,439.25 and 19,637.44 is: 28,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.25 : 19,637.44 = 19,637.44 : x
  2. Step 2: Convert to fraction form
    13,439.25/19,637.44 = 19,637.44/x
  3. Step 3: Cross multiply
    13,439.25x = 19,637.44 × 19,637.44
  4. Step 4: Simplify right side
    13,439.25x = 385,628,951.57
  5. Step 5: Solve for x
    x = 385,628,951.57/13,439.25
  6. Step 6: Final answer
    x = 28,694.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.