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Finding the Third Proportional to 9,172 and 17,390

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Solution

The third proportional to 9,172 and 17,390 is: 32,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172 : 17,390 = 17,390 : x
  2. Step 2: Convert to fraction form
    9,172/17,390 = 17,390/x
  3. Step 3: Cross multiply
    9,172x = 17,390 × 17,390
  4. Step 4: Simplify right side
    9,172x = 302,412,100
  5. Step 5: Solve for x
    x = 302,412,100/9,172
  6. Step 6: Final answer
    x = 32,971.23

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.