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Finding the Third Proportional to 5,134 and 7,275

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Solution

The third proportional to 5,134 and 7,275 is: 10,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134 : 7,275 = 7,275 : x
  2. Step 2: Convert to fraction form
    5,134/7,275 = 7,275/x
  3. Step 3: Cross multiply
    5,134x = 7,275 × 7,275
  4. Step 4: Simplify right side
    5,134x = 52,925,625
  5. Step 5: Solve for x
    x = 52,925,625/5,134
  6. Step 6: Final answer
    x = 10,308.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.