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Finding the Third Proportional to 10,299 and 14,589

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Solution

The third proportional to 10,299 and 14,589 is: 20,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 14,589 = 14,589 : x
  2. Step 2: Convert to fraction form
    10,299/14,589 = 14,589/x
  3. Step 3: Cross multiply
    10,299x = 14,589 × 14,589
  4. Step 4: Simplify right side
    10,299x = 212,838,921
  5. Step 5: Solve for x
    x = 212,838,921/10,299
  6. Step 6: Final answer
    x = 20,665.98

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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.