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Finding the Third Proportional to 9,007 and 16,453

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Solution

The third proportional to 9,007 and 16,453 is: 30,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007 : 16,453 = 16,453 : x
  2. Step 2: Convert to fraction form
    9,007/16,453 = 16,453/x
  3. Step 3: Cross multiply
    9,007x = 16,453 × 16,453
  4. Step 4: Simplify right side
    9,007x = 270,701,209
  5. Step 5: Solve for x
    x = 270,701,209/9,007
  6. Step 6: Final answer
    x = 30,054.54

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.