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Finding the Third Proportional to 45,576.75 and 68,973.75

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Solution

The third proportional to 45,576.75 and 68,973.75 is: 104,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,576.75 : 68,973.75 = 68,973.75 : x
  2. Step 2: Convert to fraction form
    45,576.75/68,973.75 = 68,973.75/x
  3. Step 3: Cross multiply
    45,576.75x = 68,973.75 × 68,973.75
  4. Step 4: Simplify right side
    45,576.75x = 4,757,378,189.06
  5. Step 5: Solve for x
    x = 4,757,378,189.06/45,576.75
  6. Step 6: Final answer
    x = 104,381.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.