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Finding the Third Proportional to 5,372 and 10,384

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Solution

The third proportional to 5,372 and 10,384 is: 20,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372 : 10,384 = 10,384 : x
  2. Step 2: Convert to fraction form
    5,372/10,384 = 10,384/x
  3. Step 3: Cross multiply
    5,372x = 10,384 × 10,384
  4. Step 4: Simplify right side
    5,372x = 107,827,456
  5. Step 5: Solve for x
    x = 107,827,456/5,372
  6. Step 6: Final answer
    x = 20,072.13

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.