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Finding the Third Proportional to 5,057 and 10,319

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Solution

The third proportional to 5,057 and 10,319 is: 21,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057 : 10,319 = 10,319 : x
  2. Step 2: Convert to fraction form
    5,057/10,319 = 10,319/x
  3. Step 3: Cross multiply
    5,057x = 10,319 × 10,319
  4. Step 4: Simplify right side
    5,057x = 106,481,761
  5. Step 5: Solve for x
    x = 106,481,761/5,057
  6. Step 6: Final answer
    x = 21,056.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.