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Finding the Third Proportional to 10,734 and 17,034

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Solution

The third proportional to 10,734 and 17,034 is: 27,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734 : 17,034 = 17,034 : x
  2. Step 2: Convert to fraction form
    10,734/17,034 = 17,034/x
  3. Step 3: Cross multiply
    10,734x = 17,034 × 17,034
  4. Step 4: Simplify right side
    10,734x = 290,157,156
  5. Step 5: Solve for x
    x = 290,157,156/10,734
  6. Step 6: Final answer
    x = 27,031.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.