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Finding the Third Proportional to 34,933.50 and 49,382.25

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Solution

The third proportional to 34,933.50 and 49,382.25 is: 69,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,933.50 : 49,382.25 = 49,382.25 : x
  2. Step 2: Convert to fraction form
    34,933.50/49,382.25 = 49,382.25/x
  3. Step 3: Cross multiply
    34,933.50x = 49,382.25 × 49,382.25
  4. Step 4: Simplify right side
    34,933.50x = 2,438,606,615.06
  5. Step 5: Solve for x
    x = 2,438,606,615.06/34,933.50
  6. Step 6: Final answer
    x = 69,807.11

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.