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Finding the Third Proportional to 10,284 and 22,589

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Solution

The third proportional to 10,284 and 22,589 is: 49,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 22,589 = 22,589 : x
  2. Step 2: Convert to fraction form
    10,284/22,589 = 22,589/x
  3. Step 3: Cross multiply
    10,284x = 22,589 × 22,589
  4. Step 4: Simplify right side
    10,284x = 510,262,921
  5. Step 5: Solve for x
    x = 510,262,921/10,284
  6. Step 6: Final answer
    x = 49,617.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.