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Finding the Third Proportional to 7,576 and 17,695

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Solution

The third proportional to 7,576 and 17,695 is: 41,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 17,695 = 17,695 : x
  2. Step 2: Convert to fraction form
    7,576/17,695 = 17,695/x
  3. Step 3: Cross multiply
    7,576x = 17,695 × 17,695
  4. Step 4: Simplify right side
    7,576x = 313,113,025
  5. Step 5: Solve for x
    x = 313,113,025/7,576
  6. Step 6: Final answer
    x = 41,329.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.