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Finding the Third Proportional to 4,317 and 9,273

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Solution

The third proportional to 4,317 and 9,273 is: 19,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317 : 9,273 = 9,273 : x
  2. Step 2: Convert to fraction form
    4,317/9,273 = 9,273/x
  3. Step 3: Cross multiply
    4,317x = 9,273 × 9,273
  4. Step 4: Simplify right side
    4,317x = 85,988,529
  5. Step 5: Solve for x
    x = 85,988,529/4,317
  6. Step 6: Final answer
    x = 19,918.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.