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Finding the Third Proportional to 16,964 and 36,004

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Solution

The third proportional to 16,964 and 36,004 is: 76,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964 : 36,004 = 36,004 : x
  2. Step 2: Convert to fraction form
    16,964/36,004 = 36,004/x
  3. Step 3: Cross multiply
    16,964x = 36,004 × 36,004
  4. Step 4: Simplify right side
    16,964x = 1,296,288,016
  5. Step 5: Solve for x
    x = 1,296,288,016/16,964
  6. Step 6: Final answer
    x = 76,414.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.