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Finding the Third Proportional to 12,984 and 17,880

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Solution

The third proportional to 12,984 and 17,880 is: 24,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 17,880 = 17,880 : x
  2. Step 2: Convert to fraction form
    12,984/17,880 = 17,880/x
  3. Step 3: Cross multiply
    12,984x = 17,880 × 17,880
  4. Step 4: Simplify right side
    12,984x = 319,694,400
  5. Step 5: Solve for x
    x = 319,694,400/12,984
  6. Step 6: Final answer
    x = 24,622.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.