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Finding the Third Proportional to 19,504.97 and 31,400.58

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Solution

The third proportional to 19,504.97 and 31,400.58 is: 50,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.97 : 31,400.58 = 31,400.58 : x
  2. Step 2: Convert to fraction form
    19,504.97/31,400.58 = 31,400.58/x
  3. Step 3: Cross multiply
    19,504.97x = 31,400.58 × 31,400.58
  4. Step 4: Simplify right side
    19,504.97x = 985,996,306.58
  5. Step 5: Solve for x
    x = 985,996,306.58/19,504.97
  6. Step 6: Final answer
    x = 50,551.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.