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Finding the Third Proportional to 7,166 and 16,004

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Solution

The third proportional to 7,166 and 16,004 is: 35,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166 : 16,004 = 16,004 : x
  2. Step 2: Convert to fraction form
    7,166/16,004 = 16,004/x
  3. Step 3: Cross multiply
    7,166x = 16,004 × 16,004
  4. Step 4: Simplify right side
    7,166x = 256,128,016
  5. Step 5: Solve for x
    x = 256,128,016/7,166
  6. Step 6: Final answer
    x = 35,742.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.