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Finding the Third Proportional to 20,841.05 and 45,942.19

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Solution

The third proportional to 20,841.05 and 45,942.19 is: 101,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.05 : 45,942.19 = 45,942.19 : x
  2. Step 2: Convert to fraction form
    20,841.05/45,942.19 = 45,942.19/x
  3. Step 3: Cross multiply
    20,841.05x = 45,942.19 × 45,942.19
  4. Step 4: Simplify right side
    20,841.05x = 2,110,684,592.29
  5. Step 5: Solve for x
    x = 2,110,684,592.29/20,841.05
  6. Step 6: Final answer
    x = 101,275.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.