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Finding the Third Proportional to 20,750 and 31,178

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Solution

The third proportional to 20,750 and 31,178 is: 46,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750 : 31,178 = 31,178 : x
  2. Step 2: Convert to fraction form
    20,750/31,178 = 31,178/x
  3. Step 3: Cross multiply
    20,750x = 31,178 × 31,178
  4. Step 4: Simplify right side
    20,750x = 972,067,684
  5. Step 5: Solve for x
    x = 972,067,684/20,750
  6. Step 6: Final answer
    x = 46,846.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.