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Finding the Third Proportional to 7,108 and 10,454

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Solution

The third proportional to 7,108 and 10,454 is: 15,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108 : 10,454 = 10,454 : x
  2. Step 2: Convert to fraction form
    7,108/10,454 = 10,454/x
  3. Step 3: Cross multiply
    7,108x = 10,454 × 10,454
  4. Step 4: Simplify right side
    7,108x = 109,286,116
  5. Step 5: Solve for x
    x = 109,286,116/7,108
  6. Step 6: Final answer
    x = 15,375.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.