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Finding the Third Proportional to 17,433.38 and 38,106.75

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Solution

The third proportional to 17,433.38 and 38,106.75 is: 83,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433.38 : 38,106.75 = 38,106.75 : x
  2. Step 2: Convert to fraction form
    17,433.38/38,106.75 = 38,106.75/x
  3. Step 3: Cross multiply
    17,433.38x = 38,106.75 × 38,106.75
  4. Step 4: Simplify right side
    17,433.38x = 1,452,124,395.56
  5. Step 5: Solve for x
    x = 1,452,124,395.56/17,433.38
  6. Step 6: Final answer
    x = 83,295.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.