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Finding the Third Proportional to 31,092.85 and 49,313.58

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Solution

The third proportional to 31,092.85 and 49,313.58 is: 78,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.85 : 49,313.58 = 49,313.58 : x
  2. Step 2: Convert to fraction form
    31,092.85/49,313.58 = 49,313.58/x
  3. Step 3: Cross multiply
    31,092.85x = 49,313.58 × 49,313.58
  4. Step 4: Simplify right side
    31,092.85x = 2,431,828,698.54
  5. Step 5: Solve for x
    x = 2,431,828,698.54/31,092.85
  6. Step 6: Final answer
    x = 78,211.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.