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Finding the Third Proportional to 20,506.50 and 44,213.77

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Solution

The third proportional to 20,506.50 and 44,213.77 is: 95,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.50 : 44,213.77 = 44,213.77 : x
  2. Step 2: Convert to fraction form
    20,506.50/44,213.77 = 44,213.77/x
  3. Step 3: Cross multiply
    20,506.50x = 44,213.77 × 44,213.77
  4. Step 4: Simplify right side
    20,506.50x = 1,954,857,070.74
  5. Step 5: Solve for x
    x = 1,954,857,070.74/20,506.50
  6. Step 6: Final answer
    x = 95,328.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.