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Finding the Third Proportional to 30,634.50 and 41,576.25

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Solution

The third proportional to 30,634.50 and 41,576.25 is: 56,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.50 : 41,576.25 = 41,576.25 : x
  2. Step 2: Convert to fraction form
    30,634.50/41,576.25 = 41,576.25/x
  3. Step 3: Cross multiply
    30,634.50x = 41,576.25 × 41,576.25
  4. Step 4: Simplify right side
    30,634.50x = 1,728,584,564.06
  5. Step 5: Solve for x
    x = 1,728,584,564.06/30,634.50
  6. Step 6: Final answer
    x = 56,426.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.