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Finding the Third Proportional to 31,112 and 49,907.50

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Solution

The third proportional to 31,112 and 49,907.50 is: 80,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112 : 49,907.50 = 49,907.50 : x
  2. Step 2: Convert to fraction form
    31,112/49,907.50 = 49,907.50/x
  3. Step 3: Cross multiply
    31,112x = 49,907.50 × 49,907.50
  4. Step 4: Simplify right side
    31,112x = 2,490,758,556.25
  5. Step 5: Solve for x
    x = 2,490,758,556.25/31,112
  6. Step 6: Final answer
    x = 80,057.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.