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Finding the Third Proportional to 10,586 and 15,859

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Solution

The third proportional to 10,586 and 15,859 is: 23,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 15,859 = 15,859 : x
  2. Step 2: Convert to fraction form
    10,586/15,859 = 15,859/x
  3. Step 3: Cross multiply
    10,586x = 15,859 × 15,859
  4. Step 4: Simplify right side
    10,586x = 251,507,881
  5. Step 5: Solve for x
    x = 251,507,881/10,586
  6. Step 6: Final answer
    x = 23,758.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.