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Finding the Third Proportional to 7,684 and 17,752

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Solution

The third proportional to 7,684 and 17,752 is: 41,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 17,752 = 17,752 : x
  2. Step 2: Convert to fraction form
    7,684/17,752 = 17,752/x
  3. Step 3: Cross multiply
    7,684x = 17,752 × 17,752
  4. Step 4: Simplify right side
    7,684x = 315,133,504
  5. Step 5: Solve for x
    x = 315,133,504/7,684
  6. Step 6: Final answer
    x = 41,011.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.