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Finding the Third Proportional to 20,209.50 and 42,975.56

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Solution

The third proportional to 20,209.50 and 42,975.56 is: 91,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.50 : 42,975.56 = 42,975.56 : x
  2. Step 2: Convert to fraction form
    20,209.50/42,975.56 = 42,975.56/x
  3. Step 3: Cross multiply
    20,209.50x = 42,975.56 × 42,975.56
  4. Step 4: Simplify right side
    20,209.50x = 1,846,898,972.19
  5. Step 5: Solve for x
    x = 1,846,898,972.19/20,209.50
  6. Step 6: Final answer
    x = 91,387.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.