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Finding the Third Proportional to 20,854.97 and 43,089.47

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Solution

The third proportional to 20,854.97 and 43,089.47 is: 89,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.97 : 43,089.47 = 43,089.47 : x
  2. Step 2: Convert to fraction form
    20,854.97/43,089.47 = 43,089.47/x
  3. Step 3: Cross multiply
    20,854.97x = 43,089.47 × 43,089.47
  4. Step 4: Simplify right side
    20,854.97x = 1,856,702,317.16
  5. Step 5: Solve for x
    x = 1,856,702,317.16/20,854.97
  6. Step 6: Final answer
    x = 89,029.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.