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Finding the Third Proportional to 8,665 and 19,273

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Solution

The third proportional to 8,665 and 19,273 is: 42,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665 : 19,273 = 19,273 : x
  2. Step 2: Convert to fraction form
    8,665/19,273 = 19,273/x
  3. Step 3: Cross multiply
    8,665x = 19,273 × 19,273
  4. Step 4: Simplify right side
    8,665x = 371,448,529
  5. Step 5: Solve for x
    x = 371,448,529/8,665
  6. Step 6: Final answer
    x = 42,867.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.