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Finding the Third Proportional to 49,899.75 and 73,389

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Solution

The third proportional to 49,899.75 and 73,389 is: 107,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,899.75 : 73,389 = 73,389 : x
  2. Step 2: Convert to fraction form
    49,899.75/73,389 = 73,389/x
  3. Step 3: Cross multiply
    49,899.75x = 73,389 × 73,389
  4. Step 4: Simplify right side
    49,899.75x = 5,385,945,321
  5. Step 5: Solve for x
    x = 5,385,945,321/49,899.75
  6. Step 6: Final answer
    x = 107,935.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.