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Finding the Third Proportional to 43,838.50 and 67,804

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Solution

The third proportional to 43,838.50 and 67,804 is: 104,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,838.50 : 67,804 = 67,804 : x
  2. Step 2: Convert to fraction form
    43,838.50/67,804 = 67,804/x
  3. Step 3: Cross multiply
    43,838.50x = 67,804 × 67,804
  4. Step 4: Simplify right side
    43,838.50x = 4,597,382,416
  5. Step 5: Solve for x
    x = 4,597,382,416/43,838.50
  6. Step 6: Final answer
    x = 104,870.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.