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Finding the Third Proportional to 7,984 and 11,406

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Solution

The third proportional to 7,984 and 11,406 is: 16,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 11,406 = 11,406 : x
  2. Step 2: Convert to fraction form
    7,984/11,406 = 11,406/x
  3. Step 3: Cross multiply
    7,984x = 11,406 × 11,406
  4. Step 4: Simplify right side
    7,984x = 130,096,836
  5. Step 5: Solve for x
    x = 130,096,836/7,984
  6. Step 6: Final answer
    x = 16,294.69

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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.