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Finding the Third Proportional to 4,938 and 12,097

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Solution

The third proportional to 4,938 and 12,097 is: 29,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938 : 12,097 = 12,097 : x
  2. Step 2: Convert to fraction form
    4,938/12,097 = 12,097/x
  3. Step 3: Cross multiply
    4,938x = 12,097 × 12,097
  4. Step 4: Simplify right side
    4,938x = 146,337,409
  5. Step 5: Solve for x
    x = 146,337,409/4,938
  6. Step 6: Final answer
    x = 29,634.96

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.