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Finding the Third Proportional to 20,859 and 44,685.75

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Solution

The third proportional to 20,859 and 44,685.75 is: 95,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859 : 44,685.75 = 44,685.75 : x
  2. Step 2: Convert to fraction form
    20,859/44,685.75 = 44,685.75/x
  3. Step 3: Cross multiply
    20,859x = 44,685.75 × 44,685.75
  4. Step 4: Simplify right side
    20,859x = 1,996,816,253.06
  5. Step 5: Solve for x
    x = 1,996,816,253.06/20,859
  6. Step 6: Final answer
    x = 95,729.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.