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Finding the Third Proportional to 17,324 and 27,000

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Solution

The third proportional to 17,324 and 27,000 is: 42,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324 : 27,000 = 27,000 : x
  2. Step 2: Convert to fraction form
    17,324/27,000 = 27,000/x
  3. Step 3: Cross multiply
    17,324x = 27,000 × 27,000
  4. Step 4: Simplify right side
    17,324x = 729,000,000
  5. Step 5: Solve for x
    x = 729,000,000/17,324
  6. Step 6: Final answer
    x = 42,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.