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Finding the Third Proportional to 6,944 and 15,273

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Solution

The third proportional to 6,944 and 15,273 is: 33,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 15,273 = 15,273 : x
  2. Step 2: Convert to fraction form
    6,944/15,273 = 15,273/x
  3. Step 3: Cross multiply
    6,944x = 15,273 × 15,273
  4. Step 4: Simplify right side
    6,944x = 233,264,529
  5. Step 5: Solve for x
    x = 233,264,529/6,944
  6. Step 6: Final answer
    x = 33,592.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.