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Finding the Third Proportional to 3,166 and 7,495

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Solution

The third proportional to 3,166 and 7,495 is: 17,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 7,495 = 7,495 : x
  2. Step 2: Convert to fraction form
    3,166/7,495 = 7,495/x
  3. Step 3: Cross multiply
    3,166x = 7,495 × 7,495
  4. Step 4: Simplify right side
    3,166x = 56,175,025
  5. Step 5: Solve for x
    x = 56,175,025/3,166
  6. Step 6: Final answer
    x = 17,743.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.