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Finding the Third Proportional to 49,313.63 and 69,777.75

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Solution

The third proportional to 49,313.63 and 69,777.75 is: 98,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313.63 : 69,777.75 = 69,777.75 : x
  2. Step 2: Convert to fraction form
    49,313.63/69,777.75 = 69,777.75/x
  3. Step 3: Cross multiply
    49,313.63x = 69,777.75 × 69,777.75
  4. Step 4: Simplify right side
    49,313.63x = 4,868,934,395.06
  5. Step 5: Solve for x
    x = 4,868,934,395.06/49,313.63
  6. Step 6: Final answer
    x = 98,734.06

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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.