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Finding the Third Proportional to 13,584 and 17,472

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Solution

The third proportional to 13,584 and 17,472 is: 22,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 17,472 = 17,472 : x
  2. Step 2: Convert to fraction form
    13,584/17,472 = 17,472/x
  3. Step 3: Cross multiply
    13,584x = 17,472 × 17,472
  4. Step 4: Simplify right side
    13,584x = 305,270,784
  5. Step 5: Solve for x
    x = 305,270,784/13,584
  6. Step 6: Final answer
    x = 22,472.82

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.