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Finding the Third Proportional to 9,954 and 21,463

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Solution

The third proportional to 9,954 and 21,463 is: 46,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954 : 21,463 = 21,463 : x
  2. Step 2: Convert to fraction form
    9,954/21,463 = 21,463/x
  3. Step 3: Cross multiply
    9,954x = 21,463 × 21,463
  4. Step 4: Simplify right side
    9,954x = 460,660,369
  5. Step 5: Solve for x
    x = 460,660,369/9,954
  6. Step 6: Final answer
    x = 46,278.92

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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.