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Finding the Third Proportional to 9,825 and 21,477

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Solution

The third proportional to 9,825 and 21,477 is: 46,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825 : 21,477 = 21,477 : x
  2. Step 2: Convert to fraction form
    9,825/21,477 = 21,477/x
  3. Step 3: Cross multiply
    9,825x = 21,477 × 21,477
  4. Step 4: Simplify right side
    9,825x = 461,261,529
  5. Step 5: Solve for x
    x = 461,261,529/9,825
  6. Step 6: Final answer
    x = 46,947.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.