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Finding the Third Proportional to 20,165.25 and 44,299.69

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Solution

The third proportional to 20,165.25 and 44,299.69 is: 97,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.25 : 44,299.69 = 44,299.69 : x
  2. Step 2: Convert to fraction form
    20,165.25/44,299.69 = 44,299.69/x
  3. Step 3: Cross multiply
    20,165.25x = 44,299.69 × 44,299.69
  4. Step 4: Simplify right side
    20,165.25x = 1,962,462,312.60
  5. Step 5: Solve for x
    x = 1,962,462,312.60/20,165.25
  6. Step 6: Final answer
    x = 97,319.02

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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.