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Finding the Third Proportional to 17,395 and 28,007

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Solution

The third proportional to 17,395 and 28,007 is: 45,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,395 : 28,007 = 28,007 : x
  2. Step 2: Convert to fraction form
    17,395/28,007 = 28,007/x
  3. Step 3: Cross multiply
    17,395x = 28,007 × 28,007
  4. Step 4: Simplify right side
    17,395x = 784,392,049
  5. Step 5: Solve for x
    x = 784,392,049/17,395
  6. Step 6: Final answer
    x = 45,092.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.