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Finding the Third Proportional to 13,984 and 28,580

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Solution

The third proportional to 13,984 and 28,580 is: 58,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 28,580 = 28,580 : x
  2. Step 2: Convert to fraction form
    13,984/28,580 = 28,580/x
  3. Step 3: Cross multiply
    13,984x = 28,580 × 28,580
  4. Step 4: Simplify right side
    13,984x = 816,816,400
  5. Step 5: Solve for x
    x = 816,816,400/13,984
  6. Step 6: Final answer
    x = 58,410.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.