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Finding the Third Proportional to 20,953.69 and 45,672.19

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Solution

The third proportional to 20,953.69 and 45,672.19 is: 99,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.69 : 45,672.19 = 45,672.19 : x
  2. Step 2: Convert to fraction form
    20,953.69/45,672.19 = 45,672.19/x
  3. Step 3: Cross multiply
    20,953.69x = 45,672.19 × 45,672.19
  4. Step 4: Simplify right side
    20,953.69x = 2,085,948,711.04
  5. Step 5: Solve for x
    x = 2,085,948,711.04/20,953.69
  6. Step 6: Final answer
    x = 99,550.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.