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Finding the Third Proportional to 17,007 and 36,073

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Solution

The third proportional to 17,007 and 36,073 is: 76,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007 : 36,073 = 36,073 : x
  2. Step 2: Convert to fraction form
    17,007/36,073 = 36,073/x
  3. Step 3: Cross multiply
    17,007x = 36,073 × 36,073
  4. Step 4: Simplify right side
    17,007x = 1,301,261,329
  5. Step 5: Solve for x
    x = 1,301,261,329/17,007
  6. Step 6: Final answer
    x = 76,513.28

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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.