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Finding the Third Proportional to 21,225 and 44,773

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Solution

The third proportional to 21,225 and 44,773 is: 94,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225 : 44,773 = 44,773 : x
  2. Step 2: Convert to fraction form
    21,225/44,773 = 44,773/x
  3. Step 3: Cross multiply
    21,225x = 44,773 × 44,773
  4. Step 4: Simplify right side
    21,225x = 2,004,621,529
  5. Step 5: Solve for x
    x = 2,004,621,529/21,225
  6. Step 6: Final answer
    x = 94,446.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.