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Finding the Third Proportional to 20,391.75 and 31,352.63

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Solution

The third proportional to 20,391.75 and 31,352.63 is: 48,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.75 : 31,352.63 = 31,352.63 : x
  2. Step 2: Convert to fraction form
    20,391.75/31,352.63 = 31,352.63/x
  3. Step 3: Cross multiply
    20,391.75x = 31,352.63 × 31,352.63
  4. Step 4: Simplify right side
    20,391.75x = 982,987,094.39
  5. Step 5: Solve for x
    x = 982,987,094.39/20,391.75
  6. Step 6: Final answer
    x = 48,205.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.