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Finding the Third Proportional to 20,186.25 and 31,505.25

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Solution

The third proportional to 20,186.25 and 31,505.25 is: 49,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.25 : 31,505.25 = 31,505.25 : x
  2. Step 2: Convert to fraction form
    20,186.25/31,505.25 = 31,505.25/x
  3. Step 3: Cross multiply
    20,186.25x = 31,505.25 × 31,505.25
  4. Step 4: Simplify right side
    20,186.25x = 992,580,777.56
  5. Step 5: Solve for x
    x = 992,580,777.56/20,186.25
  6. Step 6: Final answer
    x = 49,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.