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Finding the Third Proportional to 49,651.50 and 69,454.50

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Solution

The third proportional to 49,651.50 and 69,454.50 is: 97,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651.50 : 69,454.50 = 69,454.50 : x
  2. Step 2: Convert to fraction form
    49,651.50/69,454.50 = 69,454.50/x
  3. Step 3: Cross multiply
    49,651.50x = 69,454.50 × 69,454.50
  4. Step 4: Simplify right side
    49,651.50x = 4,823,927,570.25
  5. Step 5: Solve for x
    x = 4,823,927,570.25/49,651.50
  6. Step 6: Final answer
    x = 97,155.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.