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Finding the Third Proportional to 4,493.25 and 6,579

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Solution

The third proportional to 4,493.25 and 6,579 is: 9,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.25 : 6,579 = 6,579 : x
  2. Step 2: Convert to fraction form
    4,493.25/6,579 = 6,579/x
  3. Step 3: Cross multiply
    4,493.25x = 6,579 × 6,579
  4. Step 4: Simplify right side
    4,493.25x = 43,283,241
  5. Step 5: Solve for x
    x = 43,283,241/4,493.25
  6. Step 6: Final answer
    x = 9,632.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.