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Finding the Third Proportional to 9,921 and 21,477

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Solution

The third proportional to 9,921 and 21,477 is: 46,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921 : 21,477 = 21,477 : x
  2. Step 2: Convert to fraction form
    9,921/21,477 = 21,477/x
  3. Step 3: Cross multiply
    9,921x = 21,477 × 21,477
  4. Step 4: Simplify right side
    9,921x = 461,261,529
  5. Step 5: Solve for x
    x = 461,261,529/9,921
  6. Step 6: Final answer
    x = 46,493.45

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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.