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Finding the Third Proportional to 20,750.63 and 31,146.75

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Solution

The third proportional to 20,750.63 and 31,146.75 is: 46,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.63 : 31,146.75 = 31,146.75 : x
  2. Step 2: Convert to fraction form
    20,750.63/31,146.75 = 31,146.75/x
  3. Step 3: Cross multiply
    20,750.63x = 31,146.75 × 31,146.75
  4. Step 4: Simplify right side
    20,750.63x = 970,120,035.56
  5. Step 5: Solve for x
    x = 970,120,035.56/20,750.63
  6. Step 6: Final answer
    x = 46,751.36

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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.