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Finding the Third Proportional to 17,202 and 35,964

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Solution

The third proportional to 17,202 and 35,964 is: 75,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202 : 35,964 = 35,964 : x
  2. Step 2: Convert to fraction form
    17,202/35,964 = 35,964/x
  3. Step 3: Cross multiply
    17,202x = 35,964 × 35,964
  4. Step 4: Simplify right side
    17,202x = 1,293,409,296
  5. Step 5: Solve for x
    x = 1,293,409,296/17,202
  6. Step 6: Final answer
    x = 75,189.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.