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Finding the Third Proportional to 35,511.38 and 76,399.13

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Solution

The third proportional to 35,511.38 and 76,399.13 is: 164,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511.38 : 76,399.13 = 76,399.13 : x
  2. Step 2: Convert to fraction form
    35,511.38/76,399.13 = 76,399.13/x
  3. Step 3: Cross multiply
    35,511.38x = 76,399.13 × 76,399.13
  4. Step 4: Simplify right side
    35,511.38x = 5,836,826,300.77
  5. Step 5: Solve for x
    x = 5,836,826,300.77/35,511.38
  6. Step 6: Final answer
    x = 164,364.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.