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Finding the Third Proportional to 31,855.50 and 69,543

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Solution

The third proportional to 31,855.50 and 69,543 is: 151,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.50 : 69,543 = 69,543 : x
  2. Step 2: Convert to fraction form
    31,855.50/69,543 = 69,543/x
  3. Step 3: Cross multiply
    31,855.50x = 69,543 × 69,543
  4. Step 4: Simplify right side
    31,855.50x = 4,836,228,849
  5. Step 5: Solve for x
    x = 4,836,228,849/31,855.50
  6. Step 6: Final answer
    x = 151,817.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.