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Finding the Third Proportional to 35,209.69 and 76,390.59

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Solution

The third proportional to 35,209.69 and 76,390.59 is: 165,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,209.69 : 76,390.59 = 76,390.59 : x
  2. Step 2: Convert to fraction form
    35,209.69/76,390.59 = 76,390.59/x
  3. Step 3: Cross multiply
    35,209.69x = 76,390.59 × 76,390.59
  4. Step 4: Simplify right side
    35,209.69x = 5,835,522,813.48
  5. Step 5: Solve for x
    x = 5,835,522,813.48/35,209.69
  6. Step 6: Final answer
    x = 165,736.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.