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Finding the Third Proportional to 13,482 and 20,875

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Solution

The third proportional to 13,482 and 20,875 is: 32,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482 : 20,875 = 20,875 : x
  2. Step 2: Convert to fraction form
    13,482/20,875 = 20,875/x
  3. Step 3: Cross multiply
    13,482x = 20,875 × 20,875
  4. Step 4: Simplify right side
    13,482x = 435,765,625
  5. Step 5: Solve for x
    x = 435,765,625/13,482
  6. Step 6: Final answer
    x = 32,322.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.