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Finding the Third Proportional to 20,218 and 44,409

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Solution

The third proportional to 20,218 and 44,409 is: 97,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218 : 44,409 = 44,409 : x
  2. Step 2: Convert to fraction form
    20,218/44,409 = 44,409/x
  3. Step 3: Cross multiply
    20,218x = 44,409 × 44,409
  4. Step 4: Simplify right side
    20,218x = 1,972,159,281
  5. Step 5: Solve for x
    x = 1,972,159,281/20,218
  6. Step 6: Final answer
    x = 97,544.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.