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Finding the Third Proportional to 20,942.25 and 45,164.63

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Solution

The third proportional to 20,942.25 and 45,164.63 is: 97,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.25 : 45,164.63 = 45,164.63 : x
  2. Step 2: Convert to fraction form
    20,942.25/45,164.63 = 45,164.63/x
  3. Step 3: Cross multiply
    20,942.25x = 45,164.63 × 45,164.63
  4. Step 4: Simplify right side
    20,942.25x = 2,039,843,351.39
  5. Step 5: Solve for x
    x = 2,039,843,351.39/20,942.25
  6. Step 6: Final answer
    x = 97,403.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.