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Finding the Third Proportional to 20,106.25 and 42,972.75

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Solution

The third proportional to 20,106.25 and 42,972.75 is: 91,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.25 : 42,972.75 = 42,972.75 : x
  2. Step 2: Convert to fraction form
    20,106.25/42,972.75 = 42,972.75/x
  3. Step 3: Cross multiply
    20,106.25x = 42,972.75 × 42,972.75
  4. Step 4: Simplify right side
    20,106.25x = 1,846,657,242.56
  5. Step 5: Solve for x
    x = 1,846,657,242.56/20,106.25
  6. Step 6: Final answer
    x = 91,844.94

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