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Finding the Third Proportional to 6,984 and 9,980

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Solution

The third proportional to 6,984 and 9,980 is: 14,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,980 = 9,980 : x
  2. Step 2: Convert to fraction form
    6,984/9,980 = 9,980/x
  3. Step 3: Cross multiply
    6,984x = 9,980 × 9,980
  4. Step 4: Simplify right side
    6,984x = 99,600,400
  5. Step 5: Solve for x
    x = 99,600,400/6,984
  6. Step 6: Final answer
    x = 14,261.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.