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Finding the Third Proportional to 20,056.31 and 31,181.25

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Solution

The third proportional to 20,056.31 and 31,181.25 is: 48,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.31 : 31,181.25 = 31,181.25 : x
  2. Step 2: Convert to fraction form
    20,056.31/31,181.25 = 31,181.25/x
  3. Step 3: Cross multiply
    20,056.31x = 31,181.25 × 31,181.25
  4. Step 4: Simplify right side
    20,056.31x = 972,270,351.56
  5. Step 5: Solve for x
    x = 972,270,351.56/20,056.31
  6. Step 6: Final answer
    x = 48,477.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.