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Finding the Third Proportional to 30,163.88 and 39,665.81

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Solution

The third proportional to 30,163.88 and 39,665.81 is: 52,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.88 : 39,665.81 = 39,665.81 : x
  2. Step 2: Convert to fraction form
    30,163.88/39,665.81 = 39,665.81/x
  3. Step 3: Cross multiply
    30,163.88x = 39,665.81 × 39,665.81
  4. Step 4: Simplify right side
    30,163.88x = 1,573,376,681.29
  5. Step 5: Solve for x
    x = 1,573,376,681.29/30,163.88
  6. Step 6: Final answer
    x = 52,160.96

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.