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Finding the Third Proportional to 17,394 and 28,005

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Solution

The third proportional to 17,394 and 28,005 is: 45,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,394 : 28,005 = 28,005 : x
  2. Step 2: Convert to fraction form
    17,394/28,005 = 28,005/x
  3. Step 3: Cross multiply
    17,394x = 28,005 × 28,005
  4. Step 4: Simplify right side
    17,394x = 784,280,025
  5. Step 5: Solve for x
    x = 784,280,025/17,394
  6. Step 6: Final answer
    x = 45,089.11

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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.