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Finding the Third Proportional to 6,578 and 9,583

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Solution

The third proportional to 6,578 and 9,583 is: 13,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,583 = 9,583 : x
  2. Step 2: Convert to fraction form
    6,578/9,583 = 9,583/x
  3. Step 3: Cross multiply
    6,578x = 9,583 × 9,583
  4. Step 4: Simplify right side
    6,578x = 91,833,889
  5. Step 5: Solve for x
    x = 91,833,889/6,578
  6. Step 6: Final answer
    x = 13,960.76

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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.