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Finding the Third Proportional to 7,138 and 10,383

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Solution

The third proportional to 7,138 and 10,383 is: 15,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 10,383 = 10,383 : x
  2. Step 2: Convert to fraction form
    7,138/10,383 = 10,383/x
  3. Step 3: Cross multiply
    7,138x = 10,383 × 10,383
  4. Step 4: Simplify right side
    7,138x = 107,806,689
  5. Step 5: Solve for x
    x = 107,806,689/7,138
  6. Step 6: Final answer
    x = 15,103.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.