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Finding the Third Proportional to 20,994.75 and 31,695.75

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Solution

The third proportional to 20,994.75 and 31,695.75 is: 47,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.75 : 31,695.75 = 31,695.75 : x
  2. Step 2: Convert to fraction form
    20,994.75/31,695.75 = 31,695.75/x
  3. Step 3: Cross multiply
    20,994.75x = 31,695.75 × 31,695.75
  4. Step 4: Simplify right side
    20,994.75x = 1,004,620,568.06
  5. Step 5: Solve for x
    x = 1,004,620,568.06/20,994.75
  6. Step 6: Final answer
    x = 47,851.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.