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Finding the Third Proportional to 20,419.59 and 44,769.38

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Solution

The third proportional to 20,419.59 and 44,769.38 is: 98,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.59 : 44,769.38 = 44,769.38 : x
  2. Step 2: Convert to fraction form
    20,419.59/44,769.38 = 44,769.38/x
  3. Step 3: Cross multiply
    20,419.59x = 44,769.38 × 44,769.38
  4. Step 4: Simplify right side
    20,419.59x = 2,004,296,937.89
  5. Step 5: Solve for x
    x = 2,004,296,937.89/20,419.59
  6. Step 6: Final answer
    x = 98,155.57

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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.