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Finding the Third Proportional to 20,001.94 and 42,737.63

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Solution

The third proportional to 20,001.94 and 42,737.63 is: 91,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.94 : 42,737.63 = 42,737.63 : x
  2. Step 2: Convert to fraction form
    20,001.94/42,737.63 = 42,737.63/x
  3. Step 3: Cross multiply
    20,001.94x = 42,737.63 × 42,737.63
  4. Step 4: Simplify right side
    20,001.94x = 1,826,504,590.64
  5. Step 5: Solve for x
    x = 1,826,504,590.64/20,001.94
  6. Step 6: Final answer
    x = 91,316.38

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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.