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Finding the Third Proportional to 20,964 and 44,481

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Solution

The third proportional to 20,964 and 44,481 is: 94,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964 : 44,481 = 44,481 : x
  2. Step 2: Convert to fraction form
    20,964/44,481 = 44,481/x
  3. Step 3: Cross multiply
    20,964x = 44,481 × 44,481
  4. Step 4: Simplify right side
    20,964x = 1,978,559,361
  5. Step 5: Solve for x
    x = 1,978,559,361/20,964
  6. Step 6: Final answer
    x = 94,378.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.