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Finding the Third Proportional to 7,314 and 15,601

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Solution

The third proportional to 7,314 and 15,601 is: 33,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 15,601 = 15,601 : x
  2. Step 2: Convert to fraction form
    7,314/15,601 = 15,601/x
  3. Step 3: Cross multiply
    7,314x = 15,601 × 15,601
  4. Step 4: Simplify right side
    7,314x = 243,391,201
  5. Step 5: Solve for x
    x = 243,391,201/7,314
  6. Step 6: Final answer
    x = 33,277.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.