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Finding the Third Proportional to 7,734 and 11,275

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Solution

The third proportional to 7,734 and 11,275 is: 16,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 11,275 = 11,275 : x
  2. Step 2: Convert to fraction form
    7,734/11,275 = 11,275/x
  3. Step 3: Cross multiply
    7,734x = 11,275 × 11,275
  4. Step 4: Simplify right side
    7,734x = 127,125,625
  5. Step 5: Solve for x
    x = 127,125,625/7,734
  6. Step 6: Final answer
    x = 16,437.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.