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Finding the Third Proportional to 5,424 and 10,275

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Solution

The third proportional to 5,424 and 10,275 is: 19,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424 : 10,275 = 10,275 : x
  2. Step 2: Convert to fraction form
    5,424/10,275 = 10,275/x
  3. Step 3: Cross multiply
    5,424x = 10,275 × 10,275
  4. Step 4: Simplify right side
    5,424x = 105,575,625
  5. Step 5: Solve for x
    x = 105,575,625/5,424
  6. Step 6: Final answer
    x = 19,464.53

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.