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Finding the Third Proportional to 38,074.50 and 55,812.38

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Solution

The third proportional to 38,074.50 and 55,812.38 is: 81,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074.50 : 55,812.38 = 55,812.38 : x
  2. Step 2: Convert to fraction form
    38,074.50/55,812.38 = 55,812.38/x
  3. Step 3: Cross multiply
    38,074.50x = 55,812.38 × 55,812.38
  4. Step 4: Simplify right side
    38,074.50x = 3,115,021,203.14
  5. Step 5: Solve for x
    x = 3,115,021,203.14/38,074.50
  6. Step 6: Final answer
    x = 81,813.84

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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.