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Finding the Third Proportional to 22,035.38 and 39,696.75

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Solution

The third proportional to 22,035.38 and 39,696.75 is: 71,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.38 : 39,696.75 = 39,696.75 : x
  2. Step 2: Convert to fraction form
    22,035.38/39,696.75 = 39,696.75/x
  3. Step 3: Cross multiply
    22,035.38x = 39,696.75 × 39,696.75
  4. Step 4: Simplify right side
    22,035.38x = 1,575,831,960.56
  5. Step 5: Solve for x
    x = 1,575,831,960.56/22,035.38
  6. Step 6: Final answer
    x = 71,513.73

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.