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Finding the Third Proportional to 14,601 and 15,903

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Solution

The third proportional to 14,601 and 15,903 is: 17,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601 : 15,903 = 15,903 : x
  2. Step 2: Convert to fraction form
    14,601/15,903 = 15,903/x
  3. Step 3: Cross multiply
    14,601x = 15,903 × 15,903
  4. Step 4: Simplify right side
    14,601x = 252,905,409
  5. Step 5: Solve for x
    x = 252,905,409/14,601
  6. Step 6: Final answer
    x = 17,321.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.