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Finding the Third Proportional to 7,569 and 16,530

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Solution

The third proportional to 7,569 and 16,530 is: 36,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 16,530 = 16,530 : x
  2. Step 2: Convert to fraction form
    7,569/16,530 = 16,530/x
  3. Step 3: Cross multiply
    7,569x = 16,530 × 16,530
  4. Step 4: Simplify right side
    7,569x = 273,240,900
  5. Step 5: Solve for x
    x = 273,240,900/7,569
  6. Step 6: Final answer
    x = 36,100

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.