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Finding the Third Proportional to 20,047 and 43,854.50

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Solution

The third proportional to 20,047 and 43,854.50 is: 95,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047 : 43,854.50 = 43,854.50 : x
  2. Step 2: Convert to fraction form
    20,047/43,854.50 = 43,854.50/x
  3. Step 3: Cross multiply
    20,047x = 43,854.50 × 43,854.50
  4. Step 4: Simplify right side
    20,047x = 1,923,217,170.25
  5. Step 5: Solve for x
    x = 1,923,217,170.25/20,047
  6. Step 6: Final answer
    x = 95,935.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.