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Finding the Third Proportional to 31,012 and 49,510

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Solution

The third proportional to 31,012 and 49,510 is: 79,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012 : 49,510 = 49,510 : x
  2. Step 2: Convert to fraction form
    31,012/49,510 = 49,510/x
  3. Step 3: Cross multiply
    31,012x = 49,510 × 49,510
  4. Step 4: Simplify right side
    31,012x = 2,451,240,100
  5. Step 5: Solve for x
    x = 2,451,240,100/31,012
  6. Step 6: Final answer
    x = 79,041.66

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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.