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Finding the Third Proportional to 49,327.50 and 69,798

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Solution

The third proportional to 49,327.50 and 69,798 is: 98,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,327.50 : 69,798 = 69,798 : x
  2. Step 2: Convert to fraction form
    49,327.50/69,798 = 69,798/x
  3. Step 3: Cross multiply
    49,327.50x = 69,798 × 69,798
  4. Step 4: Simplify right side
    49,327.50x = 4,871,760,804
  5. Step 5: Solve for x
    x = 4,871,760,804/49,327.50
  6. Step 6: Final answer
    x = 98,763.59

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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.