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Finding the Third Proportional to 7,569 and 9,576.38

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Solution

The third proportional to 7,569 and 9,576.38 is: 12,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 9,576.38 = 9,576.38 : x
  2. Step 2: Convert to fraction form
    7,569/9,576.38 = 9,576.38/x
  3. Step 3: Cross multiply
    7,569x = 9,576.38 × 9,576.38
  4. Step 4: Simplify right side
    7,569x = 91,706,958.14
  5. Step 5: Solve for x
    x = 91,706,958.14/7,569
  6. Step 6: Final answer
    x = 12,116.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.