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Finding the Third Proportional to 20,562 and 44,823

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Solution

The third proportional to 20,562 and 44,823 is: 97,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562 : 44,823 = 44,823 : x
  2. Step 2: Convert to fraction form
    20,562/44,823 = 44,823/x
  3. Step 3: Cross multiply
    20,562x = 44,823 × 44,823
  4. Step 4: Simplify right side
    20,562x = 2,009,101,329
  5. Step 5: Solve for x
    x = 2,009,101,329/20,562
  6. Step 6: Final answer
    x = 97,709.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.