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Finding the Third Proportional to 20,512.75 and 44,822

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Solution

The third proportional to 20,512.75 and 44,822 is: 97,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.75 : 44,822 = 44,822 : x
  2. Step 2: Convert to fraction form
    20,512.75/44,822 = 44,822/x
  3. Step 3: Cross multiply
    20,512.75x = 44,822 × 44,822
  4. Step 4: Simplify right side
    20,512.75x = 2,009,011,684
  5. Step 5: Solve for x
    x = 2,009,011,684/20,512.75
  6. Step 6: Final answer
    x = 97,939.66

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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.