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Finding the Third Proportional to 9,977 and 21,589

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Solution

The third proportional to 9,977 and 21,589 is: 46,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977 : 21,589 = 21,589 : x
  2. Step 2: Convert to fraction form
    9,977/21,589 = 21,589/x
  3. Step 3: Cross multiply
    9,977x = 21,589 × 21,589
  4. Step 4: Simplify right side
    9,977x = 466,084,921
  5. Step 5: Solve for x
    x = 466,084,921/9,977
  6. Step 6: Final answer
    x = 46,715.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.