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Finding the Third Proportional to 31,795.03 and 47,696.34

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Solution

The third proportional to 31,795.03 and 47,696.34 is: 71,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.03 : 47,696.34 = 47,696.34 : x
  2. Step 2: Convert to fraction form
    31,795.03/47,696.34 = 47,696.34/x
  3. Step 3: Cross multiply
    31,795.03x = 47,696.34 × 47,696.34
  4. Step 4: Simplify right side
    31,795.03x = 2,274,941,207.12
  5. Step 5: Solve for x
    x = 2,274,941,207.12/31,795.03
  6. Step 6: Final answer
    x = 71,550.21

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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.