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Finding the Third Proportional to 31,382 and 48,075

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Solution

The third proportional to 31,382 and 48,075 is: 73,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382 : 48,075 = 48,075 : x
  2. Step 2: Convert to fraction form
    31,382/48,075 = 48,075/x
  3. Step 3: Cross multiply
    31,382x = 48,075 × 48,075
  4. Step 4: Simplify right side
    31,382x = 2,311,205,625
  5. Step 5: Solve for x
    x = 2,311,205,625/31,382
  6. Step 6: Final answer
    x = 73,647.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.