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Finding the Third Proportional to 17,300 and 36,964

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Solution

The third proportional to 17,300 and 36,964 is: 78,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300 : 36,964 = 36,964 : x
  2. Step 2: Convert to fraction form
    17,300/36,964 = 36,964/x
  3. Step 3: Cross multiply
    17,300x = 36,964 × 36,964
  4. Step 4: Simplify right side
    17,300x = 1,366,337,296
  5. Step 5: Solve for x
    x = 1,366,337,296/17,300
  6. Step 6: Final answer
    x = 78,979.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.