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Finding the Third Proportional to 20,845.91 and 45,465.28

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Solution

The third proportional to 20,845.91 and 45,465.28 is: 99,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845.91 : 45,465.28 = 45,465.28 : x
  2. Step 2: Convert to fraction form
    20,845.91/45,465.28 = 45,465.28/x
  3. Step 3: Cross multiply
    20,845.91x = 45,465.28 × 45,465.28
  4. Step 4: Simplify right side
    20,845.91x = 2,067,091,615.99
  5. Step 5: Solve for x
    x = 2,067,091,615.99/20,845.91
  6. Step 6: Final answer
    x = 99,160.53

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Why These Related Problems?

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