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Finding the Third Proportional to 5,642 and 9,679

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Solution

The third proportional to 5,642 and 9,679 is: 16,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 9,679 = 9,679 : x
  2. Step 2: Convert to fraction form
    5,642/9,679 = 9,679/x
  3. Step 3: Cross multiply
    5,642x = 9,679 × 9,679
  4. Step 4: Simplify right side
    5,642x = 93,683,041
  5. Step 5: Solve for x
    x = 93,683,041/5,642
  6. Step 6: Final answer
    x = 16,604.58

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.