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Finding the Third Proportional to 10,186 and 14,903

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Solution

The third proportional to 10,186 and 14,903 is: 21,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 14,903 = 14,903 : x
  2. Step 2: Convert to fraction form
    10,186/14,903 = 14,903/x
  3. Step 3: Cross multiply
    10,186x = 14,903 × 14,903
  4. Step 4: Simplify right side
    10,186x = 222,099,409
  5. Step 5: Solve for x
    x = 222,099,409/10,186
  6. Step 6: Final answer
    x = 21,804.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.