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Finding the Third Proportional to 5,307 and 10,494

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Solution

The third proportional to 5,307 and 10,494 is: 20,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307 : 10,494 = 10,494 : x
  2. Step 2: Convert to fraction form
    5,307/10,494 = 10,494/x
  3. Step 3: Cross multiply
    5,307x = 10,494 × 10,494
  4. Step 4: Simplify right side
    5,307x = 110,124,036
  5. Step 5: Solve for x
    x = 110,124,036/5,307
  6. Step 6: Final answer
    x = 20,750.71

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.