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Finding the Third Proportional to 20,522 and 44,950

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Solution

The third proportional to 20,522 and 44,950 is: 98,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522 : 44,950 = 44,950 : x
  2. Step 2: Convert to fraction form
    20,522/44,950 = 44,950/x
  3. Step 3: Cross multiply
    20,522x = 44,950 × 44,950
  4. Step 4: Simplify right side
    20,522x = 2,020,502,500
  5. Step 5: Solve for x
    x = 2,020,502,500/20,522
  6. Step 6: Final answer
    x = 98,455.44

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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.