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Finding the Third Proportional to 10,586 and 16,251

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Solution

The third proportional to 10,586 and 16,251 is: 24,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 16,251 = 16,251 : x
  2. Step 2: Convert to fraction form
    10,586/16,251 = 16,251/x
  3. Step 3: Cross multiply
    10,586x = 16,251 × 16,251
  4. Step 4: Simplify right side
    10,586x = 264,095,001
  5. Step 5: Solve for x
    x = 264,095,001/10,586
  6. Step 6: Final answer
    x = 24,947.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.