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Finding the Third Proportional to 20,845.97 and 46,354.78

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Solution

The third proportional to 20,845.97 and 46,354.78 is: 103,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845.97 : 46,354.78 = 46,354.78 : x
  2. Step 2: Convert to fraction form
    20,845.97/46,354.78 = 46,354.78/x
  3. Step 3: Cross multiply
    20,845.97x = 46,354.78 × 46,354.78
  4. Step 4: Simplify right side
    20,845.97x = 2,148,765,744.74
  5. Step 5: Solve for x
    x = 2,148,765,744.74/20,845.97
  6. Step 6: Final answer
    x = 103,078.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.