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Finding the Third Proportional to 5,984 and 8,371

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Solution

The third proportional to 5,984 and 8,371 is: 11,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 8,371 = 8,371 : x
  2. Step 2: Convert to fraction form
    5,984/8,371 = 8,371/x
  3. Step 3: Cross multiply
    5,984x = 8,371 × 8,371
  4. Step 4: Simplify right side
    5,984x = 70,073,641
  5. Step 5: Solve for x
    x = 70,073,641/5,984
  6. Step 6: Final answer
    x = 11,710.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.