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Finding the Third Proportional to 10,185 and 14,481

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Solution

The third proportional to 10,185 and 14,481 is: 20,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185 : 14,481 = 14,481 : x
  2. Step 2: Convert to fraction form
    10,185/14,481 = 14,481/x
  3. Step 3: Cross multiply
    10,185x = 14,481 × 14,481
  4. Step 4: Simplify right side
    10,185x = 209,699,361
  5. Step 5: Solve for x
    x = 209,699,361/10,185
  6. Step 6: Final answer
    x = 20,589.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.