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Finding the Third Proportional to 20,984.25 and 45,086.25

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Solution

The third proportional to 20,984.25 and 45,086.25 is: 96,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.25 : 45,086.25 = 45,086.25 : x
  2. Step 2: Convert to fraction form
    20,984.25/45,086.25 = 45,086.25/x
  3. Step 3: Cross multiply
    20,984.25x = 45,086.25 × 45,086.25
  4. Step 4: Simplify right side
    20,984.25x = 2,032,769,939.06
  5. Step 5: Solve for x
    x = 2,032,769,939.06/20,984.25
  6. Step 6: Final answer
    x = 96,871.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.