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Finding the Third Proportional to 10,589 and 15,485

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Solution

The third proportional to 10,589 and 15,485 is: 22,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 15,485 = 15,485 : x
  2. Step 2: Convert to fraction form
    10,589/15,485 = 15,485/x
  3. Step 3: Cross multiply
    10,589x = 15,485 × 15,485
  4. Step 4: Simplify right side
    10,589x = 239,785,225
  5. Step 5: Solve for x
    x = 239,785,225/10,589
  6. Step 6: Final answer
    x = 22,644.75

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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.