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Finding the Third Proportional to 20,322 and 44,159.50

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Solution

The third proportional to 20,322 and 44,159.50 is: 95,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 44,159.50 = 44,159.50 : x
  2. Step 2: Convert to fraction form
    20,322/44,159.50 = 44,159.50/x
  3. Step 3: Cross multiply
    20,322x = 44,159.50 × 44,159.50
  4. Step 4: Simplify right side
    20,322x = 1,950,061,440.25
  5. Step 5: Solve for x
    x = 1,950,061,440.25/20,322
  6. Step 6: Final answer
    x = 95,958.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.