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Finding the Third Proportional to 13,584 and 21,168

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Solution

The third proportional to 13,584 and 21,168 is: 32,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 21,168 = 21,168 : x
  2. Step 2: Convert to fraction form
    13,584/21,168 = 21,168/x
  3. Step 3: Cross multiply
    13,584x = 21,168 × 21,168
  4. Step 4: Simplify right side
    13,584x = 448,084,224
  5. Step 5: Solve for x
    x = 448,084,224/13,584
  6. Step 6: Final answer
    x = 32,986.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.